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Finding the Third Proportional to 206.75 and 332.38

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Solution

The third proportional to 206.75 and 332.38 is: 534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 332.38 = 332.38 : x
  2. Step 2: Convert to fraction form
    206.75/332.38 = 332.38/x
  3. Step 3: Cross multiply
    206.75x = 332.38 × 332.38
  4. Step 4: Simplify right side
    206.75x = 110,473.14
  5. Step 5: Solve for x
    x = 110,473.14/206.75
  6. Step 6: Final answer
    x = 534.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.