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Finding the Third Proportional to 241.07 and 332.58

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Solution

The third proportional to 241.07 and 332.58 is: 458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.07 : 332.58 = 332.58 : x
  2. Step 2: Convert to fraction form
    241.07/332.58 = 332.58/x
  3. Step 3: Cross multiply
    241.07x = 332.58 × 332.58
  4. Step 4: Simplify right side
    241.07x = 110,608.21
  5. Step 5: Solve for x
    x = 110,608.21/241.07
  6. Step 6: Final answer
    x = 458.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.