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Finding the Third Proportional to 112.05 and 241.80

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Solution

The third proportional to 112.05 and 241.80 is: 521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.05 : 241.80 = 241.80 : x
  2. Step 2: Convert to fraction form
    112.05/241.80 = 241.80/x
  3. Step 3: Cross multiply
    112.05x = 241.80 × 241.80
  4. Step 4: Simplify right side
    112.05x = 58,465.73
  5. Step 5: Solve for x
    x = 58,465.73/112.05
  6. Step 6: Final answer
    x = 521.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.