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Finding the Third Proportional to 189,181 and 395,883

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Solution

The third proportional to 189,181 and 395,883 is: 828,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,181 : 395,883 = 395,883 : x
  2. Step 2: Convert to fraction form
    189,181/395,883 = 395,883/x
  3. Step 3: Cross multiply
    189,181x = 395,883 × 395,883
  4. Step 4: Simplify right side
    189,181x = 156,723,349,689
  5. Step 5: Solve for x
    x = 156,723,349,689/189,181
  6. Step 6: Final answer
    x = 828,430.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.