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Finding the Third Proportional to 251.75 and 569.19

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Solution

The third proportional to 251.75 and 569.19 is: 1,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.75 : 569.19 = 569.19 : x
  2. Step 2: Convert to fraction form
    251.75/569.19 = 569.19/x
  3. Step 3: Cross multiply
    251.75x = 569.19 × 569.19
  4. Step 4: Simplify right side
    251.75x = 323,974.41
  5. Step 5: Solve for x
    x = 323,974.41/251.75
  6. Step 6: Final answer
    x = 1,286.89

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.