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Finding the Third Proportional to 171,715.13 and 252,427.31

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Solution

The third proportional to 171,715.13 and 252,427.31 is: 371,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,715.13 : 252,427.31 = 252,427.31 : x
  2. Step 2: Convert to fraction form
    171,715.13/252,427.31 = 252,427.31/x
  3. Step 3: Cross multiply
    171,715.13x = 252,427.31 × 252,427.31
  4. Step 4: Simplify right side
    171,715.13x = 63,719,548,095.97
  5. Step 5: Solve for x
    x = 63,719,548,095.97/171,715.13
  6. Step 6: Final answer
    x = 371,077.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.