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Finding the Third Proportional to 168,397 and 368,504

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Solution

The third proportional to 168,397 and 368,504 is: 806,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,397 : 368,504 = 368,504 : x
  2. Step 2: Convert to fraction form
    168,397/368,504 = 368,504/x
  3. Step 3: Cross multiply
    168,397x = 368,504 × 368,504
  4. Step 4: Simplify right side
    168,397x = 135,795,198,016
  5. Step 5: Solve for x
    x = 135,795,198,016/168,397
  6. Step 6: Final answer
    x = 806,399.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.