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Finding the Third Proportional to 271.97 and 573.19

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Solution

The third proportional to 271.97 and 573.19 is: 1,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.97 : 573.19 = 573.19 : x
  2. Step 2: Convert to fraction form
    271.97/573.19 = 573.19/x
  3. Step 3: Cross multiply
    271.97x = 573.19 × 573.19
  4. Step 4: Simplify right side
    271.97x = 328,543.91
  5. Step 5: Solve for x
    x = 328,543.91/271.97
  6. Step 6: Final answer
    x = 1,208.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.