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Finding the Third Proportional to 271 and 559.25

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Solution

The third proportional to 271 and 559.25 is: 1,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 559.25 = 559.25 : x
  2. Step 2: Convert to fraction form
    271/559.25 = 559.25/x
  3. Step 3: Cross multiply
    271x = 559.25 × 559.25
  4. Step 4: Simplify right side
    271x = 312,760.56
  5. Step 5: Solve for x
    x = 312,760.56/271
  6. Step 6: Final answer
    x = 1,154.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.