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Finding the Third Proportional to 179,572 and 267,801

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Solution

The third proportional to 179,572 and 267,801 is: 399,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,572 : 267,801 = 267,801 : x
  2. Step 2: Convert to fraction form
    179,572/267,801 = 267,801/x
  3. Step 3: Cross multiply
    179,572x = 267,801 × 267,801
  4. Step 4: Simplify right side
    179,572x = 71,717,375,601
  5. Step 5: Solve for x
    x = 71,717,375,601/179,572
  6. Step 6: Final answer
    x = 399,379.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.