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Finding the Third Proportional to 140,162 and 217,626

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Solution

The third proportional to 140,162 and 217,626 is: 337,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,162 : 217,626 = 217,626 : x
  2. Step 2: Convert to fraction form
    140,162/217,626 = 217,626/x
  3. Step 3: Cross multiply
    140,162x = 217,626 × 217,626
  4. Step 4: Simplify right side
    140,162x = 47,361,075,876
  5. Step 5: Solve for x
    x = 47,361,075,876/140,162
  6. Step 6: Final answer
    x = 337,902.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.