跨多个DataGrid的共享DataGridColumn宽度

I'm making multiple DataGrids in an application with the same set of columns and bindings. What I'm hoping to do is make all the DataGrid respond appropriately to a change in one DataGrid. If I change the size of one column, the corresponding columns in the other DGs should have the same width. It's somewhat similar to this question on S.O. (I'm making multiple DataGrids in an application