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Finding the Third Proportional to 189,756 and 408,834

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Solution

The third proportional to 189,756 and 408,834 is: 880,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,756 : 408,834 = 408,834 : x
  2. Step 2: Convert to fraction form
    189,756/408,834 = 408,834/x
  3. Step 3: Cross multiply
    189,756x = 408,834 × 408,834
  4. Step 4: Simplify right side
    189,756x = 167,145,239,556
  5. Step 5: Solve for x
    x = 167,145,239,556/189,756
  6. Step 6: Final answer
    x = 880,842.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.