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Finding the Third Proportional to 241.13 and 337.88

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Solution

The third proportional to 241.13 and 337.88 is: 473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.13 : 337.88 = 337.88 : x
  2. Step 2: Convert to fraction form
    241.13/337.88 = 337.88/x
  3. Step 3: Cross multiply
    241.13x = 337.88 × 337.88
  4. Step 4: Simplify right side
    241.13x = 114,159.52
  5. Step 5: Solve for x
    x = 114,159.52/241.13
  6. Step 6: Final answer
    x = 473.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.