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Finding the Third Proportional to 104.31 and 226.56

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Solution

The third proportional to 104.31 and 226.56 is: 492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.31 : 226.56 = 226.56 : x
  2. Step 2: Convert to fraction form
    104.31/226.56 = 226.56/x
  3. Step 3: Cross multiply
    104.31x = 226.56 × 226.56
  4. Step 4: Simplify right side
    104.31x = 51,330.57
  5. Step 5: Solve for x
    x = 51,330.57/104.31
  6. Step 6: Final answer
    x = 492.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.