340-360 flywheel

Hello, my name is Spencer and i own a 1974 plymouth duster. I have a 360 wedge and just recently replaced my 727 torqueflight with an a833 4 speed. I was having trouble with the balancing aspect and invested about 200 dollars in a 143 tooth, 11-12'' flywheel. I previously had a 130 tooth 340 flywheel installed that seemed to work fine despite the fact that it was balanced wrong. I got the new 143 tooth flywheel today and tried to install it but i couldn't fit the bellhousing over it. Turns out, i have a 340 bellhousing. So my question is, is there a difference between a 340 and a 360 bellhousing? Is a 360 bellhousing wider? Is my new flywheel just too big? Any advice would be much, much appreciated, thank you