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Finding the Third Proportional to 102.75 and 267.75

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Solution

The third proportional to 102.75 and 267.75 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 267.75 = 267.75 : x
  2. Step 2: Convert to fraction form
    102.75/267.75 = 267.75/x
  3. Step 3: Cross multiply
    102.75x = 267.75 × 267.75
  4. Step 4: Simplify right side
    102.75x = 71,690.06
  5. Step 5: Solve for x
    x = 71,690.06/102.75
  6. Step 6: Final answer
    x = 697.71

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.