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Finding the Third Proportional to 200,782 and 267,673

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Solution

The third proportional to 200,782 and 267,673 is: 356,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782 : 267,673 = 267,673 : x
  2. Step 2: Convert to fraction form
    200,782/267,673 = 267,673/x
  3. Step 3: Cross multiply
    200,782x = 267,673 × 267,673
  4. Step 4: Simplify right side
    200,782x = 71,648,834,929
  5. Step 5: Solve for x
    x = 71,648,834,929/200,782
  6. Step 6: Final answer
    x = 356,848.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.