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Finding the Third Proportional to 87,488 and 192,464

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Solution

The third proportional to 87,488 and 192,464 is: 423,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,488 : 192,464 = 192,464 : x
  2. Step 2: Convert to fraction form
    87,488/192,464 = 192,464/x
  3. Step 3: Cross multiply
    87,488x = 192,464 × 192,464
  4. Step 4: Simplify right side
    87,488x = 37,042,391,296
  5. Step 5: Solve for x
    x = 37,042,391,296/87,488
  6. Step 6: Final answer
    x = 423,399.68

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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.