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Finding the Third Proportional to 206.75 and 447.25

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Solution

The third proportional to 206.75 and 447.25 is: 967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 447.25 = 447.25 : x
  2. Step 2: Convert to fraction form
    206.75/447.25 = 447.25/x
  3. Step 3: Cross multiply
    206.75x = 447.25 × 447.25
  4. Step 4: Simplify right side
    206.75x = 200,032.56
  5. Step 5: Solve for x
    x = 200,032.56/206.75
  6. Step 6: Final answer
    x = 967.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.