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Finding the Third Proportional to 167,530 and 365,183

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Solution

The third proportional to 167,530 and 365,183 is: 796,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,530 : 365,183 = 365,183 : x
  2. Step 2: Convert to fraction form
    167,530/365,183 = 365,183/x
  3. Step 3: Cross multiply
    167,530x = 365,183 × 365,183
  4. Step 4: Simplify right side
    167,530x = 133,358,623,489
  5. Step 5: Solve for x
    x = 133,358,623,489/167,530
  6. Step 6: Final answer
    x = 796,028.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.