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Finding the Third Proportional to 361.18 and 787.85

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Solution

The third proportional to 361.18 and 787.85 is: 1,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 787.85 = 787.85 : x
  2. Step 2: Convert to fraction form
    361.18/787.85 = 787.85/x
  3. Step 3: Cross multiply
    361.18x = 787.85 × 787.85
  4. Step 4: Simplify right side
    361.18x = 620,710.08
  5. Step 5: Solve for x
    x = 620,710.08/361.18
  6. Step 6: Final answer
    x = 1,718.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.