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Finding the Third Proportional to 174,919 and 267,446

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Solution

The third proportional to 174,919 and 267,446 is: 408,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,919 : 267,446 = 267,446 : x
  2. Step 2: Convert to fraction form
    174,919/267,446 = 267,446/x
  3. Step 3: Cross multiply
    174,919x = 267,446 × 267,446
  4. Step 4: Simplify right side
    174,919x = 71,527,362,916
  5. Step 5: Solve for x
    x = 71,527,362,916/174,919
  6. Step 6: Final answer
    x = 408,917.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.