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Finding the Third Proportional to 104.13 and 202.75

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Solution

The third proportional to 104.13 and 202.75 is: 394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.13 : 202.75 = 202.75 : x
  2. Step 2: Convert to fraction form
    104.13/202.75 = 202.75/x
  3. Step 3: Cross multiply
    104.13x = 202.75 × 202.75
  4. Step 4: Simplify right side
    104.13x = 41,107.56
  5. Step 5: Solve for x
    x = 41,107.56/104.13
  6. Step 6: Final answer
    x = 394.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.