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Finding the Third Proportional to 239,487.75 and 399,129.19

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Solution

The third proportional to 239,487.75 and 399,129.19 is: 665,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,487.75 : 399,129.19 = 399,129.19 : x
  2. Step 2: Convert to fraction form
    239,487.75/399,129.19 = 399,129.19/x
  3. Step 3: Cross multiply
    239,487.75x = 399,129.19 × 399,129.19
  4. Step 4: Simplify right side
    239,487.75x = 159,304,108,314.41
  5. Step 5: Solve for x
    x = 159,304,108,314.41/239,487.75
  6. Step 6: Final answer
    x = 665,186.88

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.