Finding the Third Proportional to 107,649.50 and 231,751
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Solution
The third proportional to 107,649.50 and 231,751 is: 498,920.35
Step by Step Solution
- Step 1: Write the proportion equation
107,649.50 : 231,751 = 231,751 : x - Step 2: Convert to fraction form
107,649.50/231,751 = 231,751/x - Step 3: Cross multiply
107,649.50x = 231,751 × 231,751 - Step 4: Simplify right side
107,649.50x = 53,708,526,001 - Step 5: Solve for x
x = 53,708,526,001/107,649.50 - Step 6: Final answer
x = 498,920.35
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.