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Finding the Third Proportional to 278.66 and 425.41

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Solution

The third proportional to 278.66 and 425.41 is: 649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.66 : 425.41 = 425.41 : x
  2. Step 2: Convert to fraction form
    278.66/425.41 = 425.41/x
  3. Step 3: Cross multiply
    278.66x = 425.41 × 425.41
  4. Step 4: Simplify right side
    278.66x = 180,970.48
  5. Step 5: Solve for x
    x = 180,970.48/278.66
  6. Step 6: Final answer
    x = 649.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.