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Finding the Third Proportional to 122.75 and 263.25

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Solution

The third proportional to 122.75 and 263.25 is: 564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 263.25 = 263.25 : x
  2. Step 2: Convert to fraction form
    122.75/263.25 = 263.25/x
  3. Step 3: Cross multiply
    122.75x = 263.25 × 263.25
  4. Step 4: Simplify right side
    122.75x = 69,300.56
  5. Step 5: Solve for x
    x = 69,300.56/122.75
  6. Step 6: Final answer
    x = 564.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.