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Finding the Third Proportional to 156,741 and 238,782

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Solution

The third proportional to 156,741 and 238,782 is: 363,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 238,782 = 238,782 : x
  2. Step 2: Convert to fraction form
    156,741/238,782 = 238,782/x
  3. Step 3: Cross multiply
    156,741x = 238,782 × 238,782
  4. Step 4: Simplify right side
    156,741x = 57,016,843,524
  5. Step 5: Solve for x
    x = 57,016,843,524/156,741
  6. Step 6: Final answer
    x = 363,764.70

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Why These Related Problems?

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