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Finding the Third Proportional to 156,742 and 238,781

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Solution

The third proportional to 156,742 and 238,781 is: 363,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 238,781 = 238,781 : x
  2. Step 2: Convert to fraction form
    156,742/238,781 = 238,781/x
  3. Step 3: Cross multiply
    156,742x = 238,781 × 238,781
  4. Step 4: Simplify right side
    156,742x = 57,016,365,961
  5. Step 5: Solve for x
    x = 57,016,365,961/156,742
  6. Step 6: Final answer
    x = 363,759.34

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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.