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Finding the Third Proportional to 206.13 and 452.75

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Solution

The third proportional to 206.13 and 452.75 is: 994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.13 : 452.75 = 452.75 : x
  2. Step 2: Convert to fraction form
    206.13/452.75 = 452.75/x
  3. Step 3: Cross multiply
    206.13x = 452.75 × 452.75
  4. Step 4: Simplify right side
    206.13x = 204,982.56
  5. Step 5: Solve for x
    x = 204,982.56/206.13
  6. Step 6: Final answer
    x = 994.46

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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.