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Finding the Third Proportional to 206.20 and 311.91

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Solution

The third proportional to 206.20 and 311.91 is: 471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.20 : 311.91 = 311.91 : x
  2. Step 2: Convert to fraction form
    206.20/311.91 = 311.91/x
  3. Step 3: Cross multiply
    206.20x = 311.91 × 311.91
  4. Step 4: Simplify right side
    206.20x = 97,285.51
  5. Step 5: Solve for x
    x = 97,285.51/206.20
  6. Step 6: Final answer
    x = 471.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.