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Finding the Third Proportional to 105.75 and 232.88

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Solution

The third proportional to 105.75 and 232.88 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 232.88 = 232.88 : x
  2. Step 2: Convert to fraction form
    105.75/232.88 = 232.88/x
  3. Step 3: Cross multiply
    105.75x = 232.88 × 232.88
  4. Step 4: Simplify right side
    105.75x = 54,230.77
  5. Step 5: Solve for x
    x = 54,230.77/105.75
  6. Step 6: Final answer
    x = 512.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.