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Finding the Third Proportional to 156,791 and 238,872

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Solution

The third proportional to 156,791 and 238,872 is: 363,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,791 : 238,872 = 238,872 : x
  2. Step 2: Convert to fraction form
    156,791/238,872 = 238,872/x
  3. Step 3: Cross multiply
    156,791x = 238,872 × 238,872
  4. Step 4: Simplify right side
    156,791x = 57,059,832,384
  5. Step 5: Solve for x
    x = 57,059,832,384/156,791
  6. Step 6: Final answer
    x = 363,922.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.