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Finding the Third Proportional to 198,093 and 412,599

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Solution

The third proportional to 198,093 and 412,599 is: 859,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,093 : 412,599 = 412,599 : x
  2. Step 2: Convert to fraction form
    198,093/412,599 = 412,599/x
  3. Step 3: Cross multiply
    198,093x = 412,599 × 412,599
  4. Step 4: Simplify right side
    198,093x = 170,237,934,801
  5. Step 5: Solve for x
    x = 170,237,934,801/198,093
  6. Step 6: Final answer
    x = 859,383.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.