Finding the Third Proportional to 193,824 and 415,296
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Solution
The third proportional to 193,824 and 415,296 is: 889,831.85
Step by Step Solution
- Step 1: Write the proportion equation
193,824 : 415,296 = 415,296 : x - Step 2: Convert to fraction form
193,824/415,296 = 415,296/x - Step 3: Cross multiply
193,824x = 415,296 × 415,296 - Step 4: Simplify right side
193,824x = 172,470,767,616 - Step 5: Solve for x
x = 172,470,767,616/193,824 - Step 6: Final answer
x = 889,831.85
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.