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Finding the Third Proportional to 106,863.75 and 230,859

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Solution

The third proportional to 106,863.75 and 230,859 is: 498,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,863.75 : 230,859 = 230,859 : x
  2. Step 2: Convert to fraction form
    106,863.75/230,859 = 230,859/x
  3. Step 3: Cross multiply
    106,863.75x = 230,859 × 230,859
  4. Step 4: Simplify right side
    106,863.75x = 53,295,877,881
  5. Step 5: Solve for x
    x = 53,295,877,881/106,863.75
  6. Step 6: Final answer
    x = 498,727.38

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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.