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Finding the Third Proportional to 239,754.38 and 399,534.19

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Solution

The third proportional to 239,754.38 and 399,534.19 is: 665,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,754.38 : 399,534.19 = 399,534.19 : x
  2. Step 2: Convert to fraction form
    239,754.38/399,534.19 = 399,534.19/x
  3. Step 3: Cross multiply
    239,754.38x = 399,534.19 × 399,534.19
  4. Step 4: Simplify right side
    239,754.38x = 159,627,566,981.29
  5. Step 5: Solve for x
    x = 159,627,566,981.29/239,754.38
  6. Step 6: Final answer
    x = 665,796.26

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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.