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Finding the Third Proportional to 87,404 and 192,302

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Solution

The third proportional to 87,404 and 192,302 is: 423,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,404 : 192,302 = 192,302 : x
  2. Step 2: Convert to fraction form
    87,404/192,302 = 192,302/x
  3. Step 3: Cross multiply
    87,404x = 192,302 × 192,302
  4. Step 4: Simplify right side
    87,404x = 36,980,059,204
  5. Step 5: Solve for x
    x = 36,980,059,204/87,404
  6. Step 6: Final answer
    x = 423,093.44

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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.