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Finding the Third Proportional to 176.50 and 267.25

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Solution

The third proportional to 176.50 and 267.25 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.50 : 267.25 = 267.25 : x
  2. Step 2: Convert to fraction form
    176.50/267.25 = 267.25/x
  3. Step 3: Cross multiply
    176.50x = 267.25 × 267.25
  4. Step 4: Simplify right side
    176.50x = 71,422.56
  5. Step 5: Solve for x
    x = 71,422.56/176.50
  6. Step 6: Final answer
    x = 404.66

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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.