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Finding the Third Proportional to 87,977 and 207,477

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Solution

The third proportional to 87,977 and 207,477 is: 489,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,977 : 207,477 = 207,477 : x
  2. Step 2: Convert to fraction form
    87,977/207,477 = 207,477/x
  3. Step 3: Cross multiply
    87,977x = 207,477 × 207,477
  4. Step 4: Simplify right side
    87,977x = 43,046,705,529
  5. Step 5: Solve for x
    x = 43,046,705,529/87,977
  6. Step 6: Final answer
    x = 489,294.99

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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.