My number is based on Western's website...
http://www.westernu.edu/financial-budgets-veterinary
The numbers here add up to $278,797. Assuming you could get away with much less for room and board for the first two years (which I dunno, apartments are pricy) then it brings it down to $255,147, which is almost exactly that quarter mil. The reason I'm not willing to subtract any of the COL from the last two years is because of how 'clinical rotations' work - you may be able to live at home some but you generally travel a lot. Which is super cool, but probably pricy.
Even if you were able to cut nearly all of the COL/travel/etc. from the total, you still have $200k... so yeah, close enough.
I can't say I don't understand why you guys are there - I interviewed, so I too gave it much consideration. Just know what you're getting into.
Not trying to be a thread-bummer-outer, just a bit surprised that no one thought tuition would be a big reason why many choose to go elsewhere. Them's the numbers.