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Finding the Third Proportional to 87,867 and 207,333

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Solution

The third proportional to 87,867 and 207,333 is: 489,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,867 : 207,333 = 207,333 : x
  2. Step 2: Convert to fraction form
    87,867/207,333 = 207,333/x
  3. Step 3: Cross multiply
    87,867x = 207,333 × 207,333
  4. Step 4: Simplify right side
    87,867x = 42,986,972,889
  5. Step 5: Solve for x
    x = 42,986,972,889/87,867
  6. Step 6: Final answer
    x = 489,227.73

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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.