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Finding the Third Proportional to 170,536 and 267,520

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Solution

The third proportional to 170,536 and 267,520 is: 419,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,536 : 267,520 = 267,520 : x
  2. Step 2: Convert to fraction form
    170,536/267,520 = 267,520/x
  3. Step 3: Cross multiply
    170,536x = 267,520 × 267,520
  4. Step 4: Simplify right side
    170,536x = 71,566,950,400
  5. Step 5: Solve for x
    x = 71,566,950,400/170,536
  6. Step 6: Final answer
    x = 419,658.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.