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Finding the Third Proportional to 217,782 and 336,474

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Solution

The third proportional to 217,782 and 336,474 is: 519,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,782 : 336,474 = 336,474 : x
  2. Step 2: Convert to fraction form
    217,782/336,474 = 336,474/x
  3. Step 3: Cross multiply
    217,782x = 336,474 × 336,474
  4. Step 4: Simplify right side
    217,782x = 113,214,752,676
  5. Step 5: Solve for x
    x = 113,214,752,676/217,782
  6. Step 6: Final answer
    x = 519,853.58

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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.