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Finding the Third Proportional to 189,182 and 395,886

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Solution

The third proportional to 189,182 and 395,886 is: 828,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,182 : 395,886 = 395,886 : x
  2. Step 2: Convert to fraction form
    189,182/395,886 = 395,886/x
  3. Step 3: Cross multiply
    189,182x = 395,886 × 395,886
  4. Step 4: Simplify right side
    189,182x = 156,725,724,996
  5. Step 5: Solve for x
    x = 156,725,724,996/189,182
  6. Step 6: Final answer
    x = 828,438.88

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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.