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Finding the Third Proportional to 87,414 and 190,698

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Solution

The third proportional to 87,414 and 190,698 is: 416,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,414 : 190,698 = 190,698 : x
  2. Step 2: Convert to fraction form
    87,414/190,698 = 190,698/x
  3. Step 3: Cross multiply
    87,414x = 190,698 × 190,698
  4. Step 4: Simplify right side
    87,414x = 36,365,727,204
  5. Step 5: Solve for x
    x = 36,365,727,204/87,414
  6. Step 6: Final answer
    x = 416,017.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.