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Finding the Third Proportional to 87,318 and 190,626

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Solution

The third proportional to 87,318 and 190,626 is: 416,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,318 : 190,626 = 190,626 : x
  2. Step 2: Convert to fraction form
    87,318/190,626 = 190,626/x
  3. Step 3: Cross multiply
    87,318x = 190,626 × 190,626
  4. Step 4: Simplify right side
    87,318x = 36,338,271,876
  5. Step 5: Solve for x
    x = 36,338,271,876/87,318
  6. Step 6: Final answer
    x = 416,160.15

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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.