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Finding the Third Proportional to 167,198 and 338,716

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Solution

The third proportional to 167,198 and 338,716 is: 686,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198 : 338,716 = 338,716 : x
  2. Step 2: Convert to fraction form
    167,198/338,716 = 338,716/x
  3. Step 3: Cross multiply
    167,198x = 338,716 × 338,716
  4. Step 4: Simplify right side
    167,198x = 114,728,528,656
  5. Step 5: Solve for x
    x = 114,728,528,656/167,198
  6. Step 6: Final answer
    x = 686,183.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.