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Finding the Third Proportional to 104.38 and 241.94

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Solution

The third proportional to 104.38 and 241.94 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.38 : 241.94 = 241.94 : x
  2. Step 2: Convert to fraction form
    104.38/241.94 = 241.94/x
  3. Step 3: Cross multiply
    104.38x = 241.94 × 241.94
  4. Step 4: Simplify right side
    104.38x = 58,533.75
  5. Step 5: Solve for x
    x = 58,533.75/104.38
  6. Step 6: Final answer
    x = 560.80

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.