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Finding the Third Proportional to 206 and 308.75

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Solution

The third proportional to 206 and 308.75 is: 462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 308.75 = 308.75 : x
  2. Step 2: Convert to fraction form
    206/308.75 = 308.75/x
  3. Step 3: Cross multiply
    206x = 308.75 × 308.75
  4. Step 4: Simplify right side
    206x = 95,326.56
  5. Step 5: Solve for x
    x = 95,326.56/206
  6. Step 6: Final answer
    x = 462.75

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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.