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Finding the Third Proportional to 105.25 and 226.75

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Solution

The third proportional to 105.25 and 226.75 is: 488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.25 : 226.75 = 226.75 : x
  2. Step 2: Convert to fraction form
    105.25/226.75 = 226.75/x
  3. Step 3: Cross multiply
    105.25x = 226.75 × 226.75
  4. Step 4: Simplify right side
    105.25x = 51,415.56
  5. Step 5: Solve for x
    x = 51,415.56/105.25
  6. Step 6: Final answer
    x = 488.51

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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.