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Finding the Third Proportional to 271.71 and 552.68

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Solution

The third proportional to 271.71 and 552.68 is: 1,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.71 : 552.68 = 552.68 : x
  2. Step 2: Convert to fraction form
    271.71/552.68 = 552.68/x
  3. Step 3: Cross multiply
    271.71x = 552.68 × 552.68
  4. Step 4: Simplify right side
    271.71x = 305,458.08
  5. Step 5: Solve for x
    x = 305,458.08/271.71
  6. Step 6: Final answer
    x = 1,124.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.