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Finding the Third Proportional to 156,722 and 238,751

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Solution

The third proportional to 156,722 and 238,751 is: 363,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,722 : 238,751 = 238,751 : x
  2. Step 2: Convert to fraction form
    156,722/238,751 = 238,751/x
  3. Step 3: Cross multiply
    156,722x = 238,751 × 238,751
  4. Step 4: Simplify right side
    156,722x = 57,002,040,001
  5. Step 5: Solve for x
    x = 57,002,040,001/156,722
  6. Step 6: Final answer
    x = 363,714.35

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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.