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Finding the Third Proportional to 255.94 and 519.19

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Solution

The third proportional to 255.94 and 519.19 is: 1,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 519.19 = 519.19 : x
  2. Step 2: Convert to fraction form
    255.94/519.19 = 519.19/x
  3. Step 3: Cross multiply
    255.94x = 519.19 × 519.19
  4. Step 4: Simplify right side
    255.94x = 269,555.66
  5. Step 5: Solve for x
    x = 269,555.66/255.94
  6. Step 6: Final answer
    x = 1,053.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.