Finding the Third Proportional to 208,976 and 493,232
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Solution
The third proportional to 208,976 and 493,232 is: 1,164,142.32
Step by Step Solution
- Step 1: Write the proportion equation
208,976 : 493,232 = 493,232 : x - Step 2: Convert to fraction form
208,976/493,232 = 493,232/x - Step 3: Cross multiply
208,976x = 493,232 × 493,232 - Step 4: Simplify right side
208,976x = 243,277,805,824 - Step 5: Solve for x
x = 243,277,805,824/208,976 - Step 6: Final answer
x = 1,164,142.32
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.