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Finding the Third Proportional to 104.88 and 231.69

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Solution

The third proportional to 104.88 and 231.69 is: 511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.88 : 231.69 = 231.69 : x
  2. Step 2: Convert to fraction form
    104.88/231.69 = 231.69/x
  3. Step 3: Cross multiply
    104.88x = 231.69 × 231.69
  4. Step 4: Simplify right side
    104.88x = 53,679.10
  5. Step 5: Solve for x
    x = 53,679.10/104.88
  6. Step 6: Final answer
    x = 511.84

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.