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Finding the Third Proportional to 267.19 and 586.92

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Solution

The third proportional to 267.19 and 586.92 is: 1,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.19 : 586.92 = 586.92 : x
  2. Step 2: Convert to fraction form
    267.19/586.92 = 586.92/x
  3. Step 3: Cross multiply
    267.19x = 586.92 × 586.92
  4. Step 4: Simplify right side
    267.19x = 344,477.29
  5. Step 5: Solve for x
    x = 344,477.29/267.19
  6. Step 6: Final answer
    x = 1,289.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.