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Finding the Third Proportional to 269.56 and 553.69

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Solution

The third proportional to 269.56 and 553.69 is: 1,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 553.69 = 553.69 : x
  2. Step 2: Convert to fraction form
    269.56/553.69 = 553.69/x
  3. Step 3: Cross multiply
    269.56x = 553.69 × 553.69
  4. Step 4: Simplify right side
    269.56x = 306,569.85
  5. Step 5: Solve for x
    x = 306,569.85/269.56
  6. Step 6: Final answer
    x = 1,137.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.