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Finding the Third Proportional to 168,682 and 362,374

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Solution

The third proportional to 168,682 and 362,374 is: 778,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,682 : 362,374 = 362,374 : x
  2. Step 2: Convert to fraction form
    168,682/362,374 = 362,374/x
  3. Step 3: Cross multiply
    168,682x = 362,374 × 362,374
  4. Step 4: Simplify right side
    168,682x = 131,314,915,876
  5. Step 5: Solve for x
    x = 131,314,915,876/168,682
  6. Step 6: Final answer
    x = 778,476.16

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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.