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Finding the Third Proportional to 105.13 and 230.75

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Solution

The third proportional to 105.13 and 230.75 is: 506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.13 : 230.75 = 230.75 : x
  2. Step 2: Convert to fraction form
    105.13/230.75 = 230.75/x
  3. Step 3: Cross multiply
    105.13x = 230.75 × 230.75
  4. Step 4: Simplify right side
    105.13x = 53,245.56
  5. Step 5: Solve for x
    x = 53,245.56/105.13
  6. Step 6: Final answer
    x = 506.50

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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.