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Finding the Third Proportional to 168,330 and 362,898

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Solution

The third proportional to 168,330 and 362,898 is: 782,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,330 : 362,898 = 362,898 : x
  2. Step 2: Convert to fraction form
    168,330/362,898 = 362,898/x
  3. Step 3: Cross multiply
    168,330x = 362,898 × 362,898
  4. Step 4: Simplify right side
    168,330x = 131,694,958,404
  5. Step 5: Solve for x
    x = 131,694,958,404/168,330
  6. Step 6: Final answer
    x = 782,361.78

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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.