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Finding the Third Proportional to 207.84 and 282.09

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Solution

The third proportional to 207.84 and 282.09 is: 382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 282.09 = 282.09 : x
  2. Step 2: Convert to fraction form
    207.84/282.09 = 282.09/x
  3. Step 3: Cross multiply
    207.84x = 282.09 × 282.09
  4. Step 4: Simplify right side
    207.84x = 79,576.88
  5. Step 5: Solve for x
    x = 79,576.88/207.84
  6. Step 6: Final answer
    x = 382.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.