Which services provide saving files to Dropbox without downloading it?
Alternatively, use Dropbox's website to manually upload folders and files to your account without downloading the desktop program.
There are Dropbox programs for both Windows and OSX which when installed will show your Dropbox folder(s) as if they were on your local machine. When saving a file just choose the target folder like you would for anything else.
You can use SideCLOUDload http://www.sidecloudload.com/
There are plenty of services that work with it (e.g . IFTTT, dropbox addons, gladinet) but they don't all do the same thing. It would help if you told us more about what exactly you are trying to achieve.
not sure if this can help?
for Chrome: Download to Dropbox