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Finding the Third Proportional to 267.75 and 584.13

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Solution

The third proportional to 267.75 and 584.13 is: 1,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.75 : 584.13 = 584.13 : x
  2. Step 2: Convert to fraction form
    267.75/584.13 = 584.13/x
  3. Step 3: Cross multiply
    267.75x = 584.13 × 584.13
  4. Step 4: Simplify right side
    267.75x = 341,202.02
  5. Step 5: Solve for x
    x = 341,202.02/267.75
  6. Step 6: Final answer
    x = 1,274.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.