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Finding the Third Proportional to 122.75 and 263.38

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Solution

The third proportional to 122.75 and 263.38 is: 565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 263.38 = 263.38 : x
  2. Step 2: Convert to fraction form
    122.75/263.38 = 263.38/x
  3. Step 3: Cross multiply
    122.75x = 263.38 × 263.38
  4. Step 4: Simplify right side
    122.75x = 69,366.39
  5. Step 5: Solve for x
    x = 69,366.39/122.75
  6. Step 6: Final answer
    x = 565.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.