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Finding the Third Proportional to 87,510.38 and 188,325

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Solution

The third proportional to 87,510.38 and 188,325 is: 405,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,510.38 : 188,325 = 188,325 : x
  2. Step 2: Convert to fraction form
    87,510.38/188,325 = 188,325/x
  3. Step 3: Cross multiply
    87,510.38x = 188,325 × 188,325
  4. Step 4: Simplify right side
    87,510.38x = 35,466,305,625
  5. Step 5: Solve for x
    x = 35,466,305,625/87,510.38
  6. Step 6: Final answer
    x = 405,281.15

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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.