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Finding the Third Proportional to 87,396 and 186,231

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Solution

The third proportional to 87,396 and 186,231 is: 396,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,396 : 186,231 = 186,231 : x
  2. Step 2: Convert to fraction form
    87,396/186,231 = 186,231/x
  3. Step 3: Cross multiply
    87,396x = 186,231 × 186,231
  4. Step 4: Simplify right side
    87,396x = 34,681,985,361
  5. Step 5: Solve for x
    x = 34,681,985,361/87,396
  6. Step 6: Final answer
    x = 396,837.22

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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.