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Finding the Third Proportional to 189,868 and 410,192

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Solution

The third proportional to 189,868 and 410,192 is: 886,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,868 : 410,192 = 410,192 : x
  2. Step 2: Convert to fraction form
    189,868/410,192 = 410,192/x
  3. Step 3: Cross multiply
    189,868x = 410,192 × 410,192
  4. Step 4: Simplify right side
    189,868x = 168,257,476,864
  5. Step 5: Solve for x
    x = 168,257,476,864/189,868
  6. Step 6: Final answer
    x = 886,181.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.