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Finding the Third Proportional to 234,198 and 372,384

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Solution

The third proportional to 234,198 and 372,384 is: 592,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,198 : 372,384 = 372,384 : x
  2. Step 2: Convert to fraction form
    234,198/372,384 = 372,384/x
  3. Step 3: Cross multiply
    234,198x = 372,384 × 372,384
  4. Step 4: Simplify right side
    234,198x = 138,669,843,456
  5. Step 5: Solve for x
    x = 138,669,843,456/234,198
  6. Step 6: Final answer
    x = 592,105.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.