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Finding the Third Proportional to 207.66 and 240.38

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Solution

The third proportional to 207.66 and 240.38 is: 278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 240.38 = 240.38 : x
  2. Step 2: Convert to fraction form
    207.66/240.38 = 240.38/x
  3. Step 3: Cross multiply
    207.66x = 240.38 × 240.38
  4. Step 4: Simplify right side
    207.66x = 57,780.14
  5. Step 5: Solve for x
    x = 57,780.14/207.66
  6. Step 6: Final answer
    x = 278.25

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.