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Finding the Third Proportional to 267.75 and 367.88

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Solution

The third proportional to 267.75 and 367.88 is: 505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.75 : 367.88 = 367.88 : x
  2. Step 2: Convert to fraction form
    267.75/367.88 = 367.88/x
  3. Step 3: Cross multiply
    267.75x = 367.88 × 367.88
  4. Step 4: Simplify right side
    267.75x = 135,332.02
  5. Step 5: Solve for x
    x = 135,332.02/267.75
  6. Step 6: Final answer
    x = 505.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.