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Finding the Third Proportional to 105,673 and 230,939

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Solution

The third proportional to 105,673 and 230,939 is: 504,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,673 : 230,939 = 230,939 : x
  2. Step 2: Convert to fraction form
    105,673/230,939 = 230,939/x
  3. Step 3: Cross multiply
    105,673x = 230,939 × 230,939
  4. Step 4: Simplify right side
    105,673x = 53,332,821,721
  5. Step 5: Solve for x
    x = 53,332,821,721/105,673
  6. Step 6: Final answer
    x = 504,696.77

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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.