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Finding the Third Proportional to 168,198 and 362,508

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Solution

The third proportional to 168,198 and 362,508 is: 781,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,198 : 362,508 = 362,508 : x
  2. Step 2: Convert to fraction form
    168,198/362,508 = 362,508/x
  3. Step 3: Cross multiply
    168,198x = 362,508 × 362,508
  4. Step 4: Simplify right side
    168,198x = 131,412,050,064
  5. Step 5: Solve for x
    x = 131,412,050,064/168,198
  6. Step 6: Final answer
    x = 781,293.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.