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Finding the Third Proportional to 278.13 and 394.75

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Solution

The third proportional to 278.13 and 394.75 is: 560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.13 : 394.75 = 394.75 : x
  2. Step 2: Convert to fraction form
    278.13/394.75 = 394.75/x
  3. Step 3: Cross multiply
    278.13x = 394.75 × 394.75
  4. Step 4: Simplify right side
    278.13x = 155,827.56
  5. Step 5: Solve for x
    x = 155,827.56/278.13
  6. Step 6: Final answer
    x = 560.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.