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Finding the Third Proportional to 251.75 and 550.19

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Solution

The third proportional to 251.75 and 550.19 is: 1,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.75 : 550.19 = 550.19 : x
  2. Step 2: Convert to fraction form
    251.75/550.19 = 550.19/x
  3. Step 3: Cross multiply
    251.75x = 550.19 × 550.19
  4. Step 4: Simplify right side
    251.75x = 302,706.29
  5. Step 5: Solve for x
    x = 302,706.29/251.75
  6. Step 6: Final answer
    x = 1,202.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.