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Finding the Third Proportional to 166,233 and 365,676

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Solution

The third proportional to 166,233 and 365,676 is: 804,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,233 : 365,676 = 365,676 : x
  2. Step 2: Convert to fraction form
    166,233/365,676 = 365,676/x
  3. Step 3: Cross multiply
    166,233x = 365,676 × 365,676
  4. Step 4: Simplify right side
    166,233x = 133,718,936,976
  5. Step 5: Solve for x
    x = 133,718,936,976/166,233
  6. Step 6: Final answer
    x = 804,406.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.