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Finding the Third Proportional to 179,576 and 267,806

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Solution

The third proportional to 179,576 and 267,806 is: 399,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,576 : 267,806 = 267,806 : x
  2. Step 2: Convert to fraction form
    179,576/267,806 = 267,806/x
  3. Step 3: Cross multiply
    179,576x = 267,806 × 267,806
  4. Step 4: Simplify right side
    179,576x = 71,720,053,636
  5. Step 5: Solve for x
    x = 71,720,053,636/179,576
  6. Step 6: Final answer
    x = 399,385.52

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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.