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Finding the Third Proportional to 254.25 and 363.52

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Solution

The third proportional to 254.25 and 363.52 is: 519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.25 : 363.52 = 363.52 : x
  2. Step 2: Convert to fraction form
    254.25/363.52 = 363.52/x
  3. Step 3: Cross multiply
    254.25x = 363.52 × 363.52
  4. Step 4: Simplify right side
    254.25x = 132,143.61
  5. Step 5: Solve for x
    x = 132,143.61/254.25
  6. Step 6: Final answer
    x = 519.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.