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Finding the Third Proportional to 228.75 and 494.13

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Solution

The third proportional to 228.75 and 494.13 is: 1,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.75 : 494.13 = 494.13 : x
  2. Step 2: Convert to fraction form
    228.75/494.13 = 494.13/x
  3. Step 3: Cross multiply
    228.75x = 494.13 × 494.13
  4. Step 4: Simplify right side
    228.75x = 244,159.52
  5. Step 5: Solve for x
    x = 244,159.52/228.75
  6. Step 6: Final answer
    x = 1,067.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.