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Finding the Third Proportional to 189,171 and 395,865

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Solution

The third proportional to 189,171 and 395,865 is: 828,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,171 : 395,865 = 395,865 : x
  2. Step 2: Convert to fraction form
    189,171/395,865 = 395,865/x
  3. Step 3: Cross multiply
    189,171x = 395,865 × 395,865
  4. Step 4: Simplify right side
    189,171x = 156,709,098,225
  5. Step 5: Solve for x
    x = 156,709,098,225/189,171
  6. Step 6: Final answer
    x = 828,399.16

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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.