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Finding the Third Proportional to 168,966 and 362,892

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Solution

The third proportional to 168,966 and 362,892 is: 779,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,966 : 362,892 = 362,892 : x
  2. Step 2: Convert to fraction form
    168,966/362,892 = 362,892/x
  3. Step 3: Cross multiply
    168,966x = 362,892 × 362,892
  4. Step 4: Simplify right side
    168,966x = 131,690,603,664
  5. Step 5: Solve for x
    x = 131,690,603,664/168,966
  6. Step 6: Final answer
    x = 779,391.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.