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Finding the Third Proportional to 71,379.50 and 156,883

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Solution

The third proportional to 71,379.50 and 156,883 is: 344,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,379.50 : 156,883 = 156,883 : x
  2. Step 2: Convert to fraction form
    71,379.50/156,883 = 156,883/x
  3. Step 3: Cross multiply
    71,379.50x = 156,883 × 156,883
  4. Step 4: Simplify right side
    71,379.50x = 24,612,275,689
  5. Step 5: Solve for x
    x = 24,612,275,689/71,379.50
  6. Step 6: Final answer
    x = 344,808.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.