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Finding the Third Proportional to 156,778 and 238,449

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Solution

The third proportional to 156,778 and 238,449 is: 362,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778 : 238,449 = 238,449 : x
  2. Step 2: Convert to fraction form
    156,778/238,449 = 238,449/x
  3. Step 3: Cross multiply
    156,778x = 238,449 × 238,449
  4. Step 4: Simplify right side
    156,778x = 56,857,925,601
  5. Step 5: Solve for x
    x = 56,857,925,601/156,778
  6. Step 6: Final answer
    x = 362,665.21

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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.