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Finding the Third Proportional to 87,391.50 and 186,222

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Solution

The third proportional to 87,391.50 and 186,222 is: 396,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,391.50 : 186,222 = 186,222 : x
  2. Step 2: Convert to fraction form
    87,391.50/186,222 = 186,222/x
  3. Step 3: Cross multiply
    87,391.50x = 186,222 × 186,222
  4. Step 4: Simplify right side
    87,391.50x = 34,678,633,284
  5. Step 5: Solve for x
    x = 34,678,633,284/87,391.50
  6. Step 6: Final answer
    x = 396,819.29

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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.