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Finding the Third Proportional to 207.88 and 263.38

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Solution

The third proportional to 207.88 and 263.38 is: 333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.88 : 263.38 = 263.38 : x
  2. Step 2: Convert to fraction form
    207.88/263.38 = 263.38/x
  3. Step 3: Cross multiply
    207.88x = 263.38 × 263.38
  4. Step 4: Simplify right side
    207.88x = 69,366.39
  5. Step 5: Solve for x
    x = 69,366.39/207.88
  6. Step 6: Final answer
    x = 333.69

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.