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Finding the Third Proportional to 112.36 and 241.73

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Solution

The third proportional to 112.36 and 241.73 is: 520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.36 : 241.73 = 241.73 : x
  2. Step 2: Convert to fraction form
    112.36/241.73 = 241.73/x
  3. Step 3: Cross multiply
    112.36x = 241.73 × 241.73
  4. Step 4: Simplify right side
    112.36x = 58,435.51
  5. Step 5: Solve for x
    x = 58,435.51/112.36
  6. Step 6: Final answer
    x = 520.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.