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Finding the Third Proportional to 241.38 and 361.13

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Solution

The third proportional to 241.38 and 361.13 is: 540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.38 : 361.13 = 361.13 : x
  2. Step 2: Convert to fraction form
    241.38/361.13 = 361.13/x
  3. Step 3: Cross multiply
    241.38x = 361.13 × 361.13
  4. Step 4: Simplify right side
    241.38x = 130,411.27
  5. Step 5: Solve for x
    x = 130,411.27/241.38
  6. Step 6: Final answer
    x = 540.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.