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Finding the Third Proportional to 168,395 and 368,500

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Solution

The third proportional to 168,395 and 368,500 is: 806,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,395 : 368,500 = 368,500 : x
  2. Step 2: Convert to fraction form
    168,395/368,500 = 368,500/x
  3. Step 3: Cross multiply
    168,395x = 368,500 × 368,500
  4. Step 4: Simplify right side
    168,395x = 135,792,250,000
  5. Step 5: Solve for x
    x = 135,792,250,000/168,395
  6. Step 6: Final answer
    x = 806,391.22

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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.