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Finding the Third Proportional to 269.44 and 571.19

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Solution

The third proportional to 269.44 and 571.19 is: 1,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.44 : 571.19 = 571.19 : x
  2. Step 2: Convert to fraction form
    269.44/571.19 = 571.19/x
  3. Step 3: Cross multiply
    269.44x = 571.19 × 571.19
  4. Step 4: Simplify right side
    269.44x = 326,255.16
  5. Step 5: Solve for x
    x = 326,255.16/269.44
  6. Step 6: Final answer
    x = 1,210.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.