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Finding the Third Proportional to 168,147 and 367,866

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Solution

The third proportional to 168,147 and 367,866 is: 804,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,147 : 367,866 = 367,866 : x
  2. Step 2: Convert to fraction form
    168,147/367,866 = 367,866/x
  3. Step 3: Cross multiply
    168,147x = 367,866 × 367,866
  4. Step 4: Simplify right side
    168,147x = 135,325,393,956
  5. Step 5: Solve for x
    x = 135,325,393,956/168,147
  6. Step 6: Final answer
    x = 804,804.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.