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Finding the Third Proportional to 244.78 and 269.53

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Solution

The third proportional to 244.78 and 269.53 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.78 : 269.53 = 269.53 : x
  2. Step 2: Convert to fraction form
    244.78/269.53 = 269.53/x
  3. Step 3: Cross multiply
    244.78x = 269.53 × 269.53
  4. Step 4: Simplify right side
    244.78x = 72,647.09
  5. Step 5: Solve for x
    x = 72,647.09/244.78
  6. Step 6: Final answer
    x = 296.78

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.