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Finding the Third Proportional to 87,922 and 207,415

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Solution

The third proportional to 87,922 and 207,415 is: 489,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,922 : 207,415 = 207,415 : x
  2. Step 2: Convert to fraction form
    87,922/207,415 = 207,415/x
  3. Step 3: Cross multiply
    87,922x = 207,415 × 207,415
  4. Step 4: Simplify right side
    87,922x = 43,020,982,225
  5. Step 5: Solve for x
    x = 43,020,982,225/87,922
  6. Step 6: Final answer
    x = 489,308.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.