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Finding the Third Proportional to 244.42 and 378.11

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Solution

The third proportional to 244.42 and 378.11 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.42 : 378.11 = 378.11 : x
  2. Step 2: Convert to fraction form
    244.42/378.11 = 378.11/x
  3. Step 3: Cross multiply
    244.42x = 378.11 × 378.11
  4. Step 4: Simplify right side
    244.42x = 142,963.75
  5. Step 5: Solve for x
    x = 142,963.75/244.42
  6. Step 6: Final answer
    x = 584.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.