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Finding the Third Proportional to 190,638.94 and 397,067.81

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Solution

The third proportional to 190,638.94 and 397,067.81 is: 827,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,638.94 : 397,067.81 = 397,067.81 : x
  2. Step 2: Convert to fraction form
    190,638.94/397,067.81 = 397,067.81/x
  3. Step 3: Cross multiply
    190,638.94x = 397,067.81 × 397,067.81
  4. Step 4: Simplify right side
    190,638.94x = 157,662,847,723.54
  5. Step 5: Solve for x
    x = 157,662,847,723.54/190,638.94
  6. Step 6: Final answer
    x = 827,023.32

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