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Finding the Third Proportional to 267.68 and 576.49

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Solution

The third proportional to 267.68 and 576.49 is: 1,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 576.49 = 576.49 : x
  2. Step 2: Convert to fraction form
    267.68/576.49 = 576.49/x
  3. Step 3: Cross multiply
    267.68x = 576.49 × 576.49
  4. Step 4: Simplify right side
    267.68x = 332,343.24
  5. Step 5: Solve for x
    x = 332,343.24/267.68
  6. Step 6: Final answer
    x = 1,241.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.