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Finding the Third Proportional to 251.13 and 518.19

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Solution

The third proportional to 251.13 and 518.19 is: 1,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.13 : 518.19 = 518.19 : x
  2. Step 2: Convert to fraction form
    251.13/518.19 = 518.19/x
  3. Step 3: Cross multiply
    251.13x = 518.19 × 518.19
  4. Step 4: Simplify right side
    251.13x = 268,518.29
  5. Step 5: Solve for x
    x = 268,518.29/251.13
  6. Step 6: Final answer
    x = 1,069.26

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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.