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Finding the Third Proportional to 87,608 and 186,864

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Solution

The third proportional to 87,608 and 186,864 is: 398,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,608 : 186,864 = 186,864 : x
  2. Step 2: Convert to fraction form
    87,608/186,864 = 186,864/x
  3. Step 3: Cross multiply
    87,608x = 186,864 × 186,864
  4. Step 4: Simplify right side
    87,608x = 34,918,154,496
  5. Step 5: Solve for x
    x = 34,918,154,496/87,608
  6. Step 6: Final answer
    x = 398,572.67

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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.