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Finding the Third Proportional to 87,379 and 186,201

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Solution

The third proportional to 87,379 and 186,201 is: 396,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,379 : 186,201 = 186,201 : x
  2. Step 2: Convert to fraction form
    87,379/186,201 = 186,201/x
  3. Step 3: Cross multiply
    87,379x = 186,201 × 186,201
  4. Step 4: Simplify right side
    87,379x = 34,670,812,401
  5. Step 5: Solve for x
    x = 34,670,812,401/87,379
  6. Step 6: Final answer
    x = 396,786.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.