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Finding the Third Proportional to 160,193 and 341,092

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Solution

The third proportional to 160,193 and 341,092 is: 726,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,193 : 341,092 = 341,092 : x
  2. Step 2: Convert to fraction form
    160,193/341,092 = 341,092/x
  3. Step 3: Cross multiply
    160,193x = 341,092 × 341,092
  4. Step 4: Simplify right side
    160,193x = 116,343,752,464
  5. Step 5: Solve for x
    x = 116,343,752,464/160,193
  6. Step 6: Final answer
    x = 726,272.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.