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Finding the Third Proportional to 192,165.75 and 412,755.75

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Solution

The third proportional to 192,165.75 and 412,755.75 is: 886,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,165.75 : 412,755.75 = 412,755.75 : x
  2. Step 2: Convert to fraction form
    192,165.75/412,755.75 = 412,755.75/x
  3. Step 3: Cross multiply
    192,165.75x = 412,755.75 × 412,755.75
  4. Step 4: Simplify right side
    192,165.75x = 170,367,309,158.06
  5. Step 5: Solve for x
    x = 170,367,309,158.06/192,165.75
  6. Step 6: Final answer
    x = 886,564.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.