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Finding the Third Proportional to 176,720 and 267,650

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Solution

The third proportional to 176,720 and 267,650 is: 405,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,720 : 267,650 = 267,650 : x
  2. Step 2: Convert to fraction form
    176,720/267,650 = 267,650/x
  3. Step 3: Cross multiply
    176,720x = 267,650 × 267,650
  4. Step 4: Simplify right side
    176,720x = 71,636,522,500
  5. Step 5: Solve for x
    x = 71,636,522,500/176,720
  6. Step 6: Final answer
    x = 405,367.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.