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Finding the Third Proportional to 105.38 and 230.44

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Solution

The third proportional to 105.38 and 230.44 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.38 : 230.44 = 230.44 : x
  2. Step 2: Convert to fraction form
    105.38/230.44 = 230.44/x
  3. Step 3: Cross multiply
    105.38x = 230.44 × 230.44
  4. Step 4: Simplify right side
    105.38x = 53,101.44
  5. Step 5: Solve for x
    x = 53,101.44/105.38
  6. Step 6: Final answer
    x = 503.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.