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Finding the Third Proportional to 230.25 and 484.13

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Solution

The third proportional to 230.25 and 484.13 is: 1,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 484.13 = 484.13 : x
  2. Step 2: Convert to fraction form
    230.25/484.13 = 484.13/x
  3. Step 3: Cross multiply
    230.25x = 484.13 × 484.13
  4. Step 4: Simplify right side
    230.25x = 234,377.02
  5. Step 5: Solve for x
    x = 234,377.02/230.25
  6. Step 6: Final answer
    x = 1,017.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.