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Finding the Third Proportional to 241.55 and 519.52

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Solution

The third proportional to 241.55 and 519.52 is: 1,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.55 : 519.52 = 519.52 : x
  2. Step 2: Convert to fraction form
    241.55/519.52 = 519.52/x
  3. Step 3: Cross multiply
    241.55x = 519.52 × 519.52
  4. Step 4: Simplify right side
    241.55x = 269,896.48
  5. Step 5: Solve for x
    x = 269,896.48/241.55
  6. Step 6: Final answer
    x = 1,117.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.