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Finding the Third Proportional to 248.81 and 331.78

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Solution

The third proportional to 248.81 and 331.78 is: 442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 331.78 = 331.78 : x
  2. Step 2: Convert to fraction form
    248.81/331.78 = 331.78/x
  3. Step 3: Cross multiply
    248.81x = 331.78 × 331.78
  4. Step 4: Simplify right side
    248.81x = 110,078.80
  5. Step 5: Solve for x
    x = 110,078.80/248.81
  6. Step 6: Final answer
    x = 442.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.