Well first of all, don't ever do anything in poker without having a plan for future actions. I really don't like 3 bet/folding hands like QQ w/out a very strong read. I also don't like 3 bet/calling off in a live environment because live poker is kind of infamous for being extremely passive pre flop. You're just hoping someone gets frisky w/ AK, or JJ which would be just calls of the 3 bet for almost every live player. Sure, some players you can easily get it in vs, but you should be able to figure out whom I speak pretty easily.
If you haven't already, I recommend getting the equilab equity calculator program. You can do simple preflop range vs range spots like this and it'll show you the equities on postflop situations too. It will really make you a better player.
You have to call $225 to win $425
So that means you are getting 1.89 : 1
So you convert that to a fraction 1/ 2.89 = 0.346
Or 34.6% equity required
http://www.pokerstrategy.com
Equity Win Tie
UTG 59.79% 57.93% 1.86% { QQ+, AKs, AKo }
UTG+1 40.21% 38.35% 1.86% { QQ }
http://www.pokerstrategy.com
Equity Win Tie
UTG 79.30% 75.41% 3.89% { QQ+ }
UTG+1 20.70% 16.81% 3.89% { QQ }
So it depends on if you think AK, JJ, or bluffs are in his range as to whether you call off.