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Finding the Third Proportional to 206.81 and 286.69

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Solution

The third proportional to 206.81 and 286.69 is: 397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.81 : 286.69 = 286.69 : x
  2. Step 2: Convert to fraction form
    206.81/286.69 = 286.69/x
  3. Step 3: Cross multiply
    206.81x = 286.69 × 286.69
  4. Step 4: Simplify right side
    206.81x = 82,189.72
  5. Step 5: Solve for x
    x = 82,189.72/206.81
  6. Step 6: Final answer
    x = 397.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.