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Finding the Third Proportional to 87,366.50 and 205,360.25

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Solution

The third proportional to 87,366.50 and 205,360.25 is: 482,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,366.50 : 205,360.25 = 205,360.25 : x
  2. Step 2: Convert to fraction form
    87,366.50/205,360.25 = 205,360.25/x
  3. Step 3: Cross multiply
    87,366.50x = 205,360.25 × 205,360.25
  4. Step 4: Simplify right side
    87,366.50x = 42,172,832,280.06
  5. Step 5: Solve for x
    x = 42,172,832,280.06/87,366.50
  6. Step 6: Final answer
    x = 482,711.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.