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Finding the Third Proportional to 271.41 and 575.02

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Solution

The third proportional to 271.41 and 575.02 is: 1,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 575.02 = 575.02 : x
  2. Step 2: Convert to fraction form
    271.41/575.02 = 575.02/x
  3. Step 3: Cross multiply
    271.41x = 575.02 × 575.02
  4. Step 4: Simplify right side
    271.41x = 330,642.97
  5. Step 5: Solve for x
    x = 330,642.97/271.41
  6. Step 6: Final answer
    x = 1,218.26

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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.