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Finding the Third Proportional to 194,791.50 and 405,168.75

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Solution

The third proportional to 194,791.50 and 405,168.75 is: 842,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,791.50 : 405,168.75 = 405,168.75 : x
  2. Step 2: Convert to fraction form
    194,791.50/405,168.75 = 405,168.75/x
  3. Step 3: Cross multiply
    194,791.50x = 405,168.75 × 405,168.75
  4. Step 4: Simplify right side
    194,791.50x = 164,161,715,976.56
  5. Step 5: Solve for x
    x = 164,161,715,976.56/194,791.50
  6. Step 6: Final answer
    x = 842,756.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.