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Finding the Third Proportional to 176,760 and 267,708

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Solution

The third proportional to 176,760 and 267,708 is: 405,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,760 : 267,708 = 267,708 : x
  2. Step 2: Convert to fraction form
    176,760/267,708 = 267,708/x
  3. Step 3: Cross multiply
    176,760x = 267,708 × 267,708
  4. Step 4: Simplify right side
    176,760x = 71,667,573,264
  5. Step 5: Solve for x
    x = 71,667,573,264/176,760
  6. Step 6: Final answer
    x = 405,451.31

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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.