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Finding the Third Proportional to 136,782 and 200,448

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Solution

The third proportional to 136,782 and 200,448 is: 293,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,782 : 200,448 = 200,448 : x
  2. Step 2: Convert to fraction form
    136,782/200,448 = 200,448/x
  3. Step 3: Cross multiply
    136,782x = 200,448 × 200,448
  4. Step 4: Simplify right side
    136,782x = 40,179,400,704
  5. Step 5: Solve for x
    x = 40,179,400,704/136,782
  6. Step 6: Final answer
    x = 293,747.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.