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Finding the Third Proportional to 361.18 and 792.12

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Solution

The third proportional to 361.18 and 792.12 is: 1,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 792.12 = 792.12 : x
  2. Step 2: Convert to fraction form
    361.18/792.12 = 792.12/x
  3. Step 3: Cross multiply
    361.18x = 792.12 × 792.12
  4. Step 4: Simplify right side
    361.18x = 627,458.92
  5. Step 5: Solve for x
    x = 627,458.92/361.18
  6. Step 6: Final answer
    x = 1,737.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.