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Finding the Third Proportional to 311.06 and 466.59

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Solution

The third proportional to 311.06 and 466.59 is: 699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.06 : 466.59 = 466.59 : x
  2. Step 2: Convert to fraction form
    311.06/466.59 = 466.59/x
  3. Step 3: Cross multiply
    311.06x = 466.59 × 466.59
  4. Step 4: Simplify right side
    311.06x = 217,709.73
  5. Step 5: Solve for x
    x = 217,709.73/311.06
  6. Step 6: Final answer
    x = 699.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.