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Finding the Third Proportional to 150,841 and 297,874

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Solution

The third proportional to 150,841 and 297,874 is: 588,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,841 : 297,874 = 297,874 : x
  2. Step 2: Convert to fraction form
    150,841/297,874 = 297,874/x
  3. Step 3: Cross multiply
    150,841x = 297,874 × 297,874
  4. Step 4: Simplify right side
    150,841x = 88,728,919,876
  5. Step 5: Solve for x
    x = 88,728,919,876/150,841
  6. Step 6: Final answer
    x = 588,228.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.