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Finding the Third Proportional to 203,589.86 and 434,231.98

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Solution

The third proportional to 203,589.86 and 434,231.98 is: 926,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,589.86 : 434,231.98 = 434,231.98 : x
  2. Step 2: Convert to fraction form
    203,589.86/434,231.98 = 434,231.98/x
  3. Step 3: Cross multiply
    203,589.86x = 434,231.98 × 434,231.98
  4. Step 4: Simplify right side
    203,589.86x = 188,557,414,558.04
  5. Step 5: Solve for x
    x = 188,557,414,558.04/203,589.86
  6. Step 6: Final answer
    x = 926,163.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.