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Finding the Third Proportional to 87,792 and 192,240

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Solution

The third proportional to 87,792 and 192,240 is: 420,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,792 : 192,240 = 192,240 : x
  2. Step 2: Convert to fraction form
    87,792/192,240 = 192,240/x
  3. Step 3: Cross multiply
    87,792x = 192,240 × 192,240
  4. Step 4: Simplify right side
    87,792x = 36,956,217,600
  5. Step 5: Solve for x
    x = 36,956,217,600/87,792
  6. Step 6: Final answer
    x = 420,952.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.