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Finding the Third Proportional to 87,873 and 207,348

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Solution

The third proportional to 87,873 and 207,348 is: 489,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,873 : 207,348 = 207,348 : x
  2. Step 2: Convert to fraction form
    87,873/207,348 = 207,348/x
  3. Step 3: Cross multiply
    87,873x = 207,348 × 207,348
  4. Step 4: Simplify right side
    87,873x = 42,993,193,104
  5. Step 5: Solve for x
    x = 42,993,193,104/87,873
  6. Step 6: Final answer
    x = 489,265.11

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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.