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Finding the Third Proportional to 268.41 and 571.97

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Solution

The third proportional to 268.41 and 571.97 is: 1,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.41 : 571.97 = 571.97 : x
  2. Step 2: Convert to fraction form
    268.41/571.97 = 571.97/x
  3. Step 3: Cross multiply
    268.41x = 571.97 × 571.97
  4. Step 4: Simplify right side
    268.41x = 327,148.25
  5. Step 5: Solve for x
    x = 327,148.25/268.41
  6. Step 6: Final answer
    x = 1,218.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.