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Finding the Third Proportional to 189,691 and 396,919

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Solution

The third proportional to 189,691 and 396,919 is: 830,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,691 : 396,919 = 396,919 : x
  2. Step 2: Convert to fraction form
    189,691/396,919 = 396,919/x
  3. Step 3: Cross multiply
    189,691x = 396,919 × 396,919
  4. Step 4: Simplify right side
    189,691x = 157,544,692,561
  5. Step 5: Solve for x
    x = 157,544,692,561/189,691
  6. Step 6: Final answer
    x = 830,533.30

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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.