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Finding the Third Proportional to 171,753.19 and 252,497.81

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Solution

The third proportional to 171,753.19 and 252,497.81 is: 371,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,753.19 : 252,497.81 = 252,497.81 : x
  2. Step 2: Convert to fraction form
    171,753.19/252,497.81 = 252,497.81/x
  3. Step 3: Cross multiply
    171,753.19x = 252,497.81 × 252,497.81
  4. Step 4: Simplify right side
    171,753.19x = 63,755,145,317.29
  5. Step 5: Solve for x
    x = 63,755,145,317.29/171,753.19
  6. Step 6: Final answer
    x = 371,202.11

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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.