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Finding the Third Proportional to 171,198 and 368,748

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Solution

The third proportional to 171,198 and 368,748 is: 794,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,198 : 368,748 = 368,748 : x
  2. Step 2: Convert to fraction form
    171,198/368,748 = 368,748/x
  3. Step 3: Cross multiply
    171,198x = 368,748 × 368,748
  4. Step 4: Simplify right side
    171,198x = 135,975,087,504
  5. Step 5: Solve for x
    x = 135,975,087,504/171,198
  6. Step 6: Final answer
    x = 794,256.29

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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.