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Finding the Third Proportional to 114.33 and 241.73

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Solution

The third proportional to 114.33 and 241.73 is: 511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.33 : 241.73 = 241.73 : x
  2. Step 2: Convert to fraction form
    114.33/241.73 = 241.73/x
  3. Step 3: Cross multiply
    114.33x = 241.73 × 241.73
  4. Step 4: Simplify right side
    114.33x = 58,435.51
  5. Step 5: Solve for x
    x = 58,435.51/114.33
  6. Step 6: Final answer
    x = 511.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.