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Finding the Third Proportional to 180,826 and 267,552

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Solution

The third proportional to 180,826 and 267,552 is: 395,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,826 : 267,552 = 267,552 : x
  2. Step 2: Convert to fraction form
    180,826/267,552 = 267,552/x
  3. Step 3: Cross multiply
    180,826x = 267,552 × 267,552
  4. Step 4: Simplify right side
    180,826x = 71,584,072,704
  5. Step 5: Solve for x
    x = 71,584,072,704/180,826
  6. Step 6: Final answer
    x = 395,872.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.