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Finding the Third Proportional to 271.78 and 562.69

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Solution

The third proportional to 271.78 and 562.69 is: 1,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 562.69 = 562.69 : x
  2. Step 2: Convert to fraction form
    271.78/562.69 = 562.69/x
  3. Step 3: Cross multiply
    271.78x = 562.69 × 562.69
  4. Step 4: Simplify right side
    271.78x = 316,617.22
  5. Step 5: Solve for x
    x = 316,617.22/271.78
  6. Step 6: Final answer
    x = 1,164.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.