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Finding the Third Proportional to 80,257.50 and 170,883

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Solution

The third proportional to 80,257.50 and 170,883 is: 363,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,257.50 : 170,883 = 170,883 : x
  2. Step 2: Convert to fraction form
    80,257.50/170,883 = 170,883/x
  3. Step 3: Cross multiply
    80,257.50x = 170,883 × 170,883
  4. Step 4: Simplify right side
    80,257.50x = 29,200,999,689
  5. Step 5: Solve for x
    x = 29,200,999,689/80,257.50
  6. Step 6: Final answer
    x = 363,841.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.