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Finding the Third Proportional to 105,843.38 and 228,305.25

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Solution

The third proportional to 105,843.38 and 228,305.25 is: 492,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,843.38 : 228,305.25 = 228,305.25 : x
  2. Step 2: Convert to fraction form
    105,843.38/228,305.25 = 228,305.25/x
  3. Step 3: Cross multiply
    105,843.38x = 228,305.25 × 228,305.25
  4. Step 4: Simplify right side
    105,843.38x = 52,123,287,177.56
  5. Step 5: Solve for x
    x = 52,123,287,177.56/105,843.38
  6. Step 6: Final answer
    x = 492,456.78

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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.