Finding the Third Proportional to 177,997.50 and 420,177.38
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Solution
The third proportional to 177,997.50 and 420,177.38 is: 991,862.39
Step by Step Solution
- Step 1: Write the proportion equation
177,997.50 : 420,177.38 = 420,177.38 : x - Step 2: Convert to fraction form
177,997.50/420,177.38 = 420,177.38/x - Step 3: Cross multiply
177,997.50x = 420,177.38 × 420,177.38 - Step 4: Simplify right side
177,997.50x = 176,549,026,461.89 - Step 5: Solve for x
x = 176,549,026,461.89/177,997.50 - Step 6: Final answer
x = 991,862.39
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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.