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Finding the Third Proportional to 105.75 and 267.47

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Solution

The third proportional to 105.75 and 267.47 is: 676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 267.47 = 267.47 : x
  2. Step 2: Convert to fraction form
    105.75/267.47 = 267.47/x
  3. Step 3: Cross multiply
    105.75x = 267.47 × 267.47
  4. Step 4: Simplify right side
    105.75x = 71,539.53
  5. Step 5: Solve for x
    x = 71,539.53/105.75
  6. Step 6: Final answer
    x = 676.50

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.