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Finding the Third Proportional to 185,166 and 384,876

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Solution

The third proportional to 185,166 and 384,876 is: 799,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,166 : 384,876 = 384,876 : x
  2. Step 2: Convert to fraction form
    185,166/384,876 = 384,876/x
  3. Step 3: Cross multiply
    185,166x = 384,876 × 384,876
  4. Step 4: Simplify right side
    185,166x = 148,129,535,376
  5. Step 5: Solve for x
    x = 148,129,535,376/185,166
  6. Step 6: Final answer
    x = 799,982.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.