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Finding the Third Proportional to 156,742 and 337,051

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Solution

The third proportional to 156,742 and 337,051 is: 724,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 337,051 = 337,051 : x
  2. Step 2: Convert to fraction form
    156,742/337,051 = 337,051/x
  3. Step 3: Cross multiply
    156,742x = 337,051 × 337,051
  4. Step 4: Simplify right side
    156,742x = 113,603,376,601
  5. Step 5: Solve for x
    x = 113,603,376,601/156,742
  6. Step 6: Final answer
    x = 724,779.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.