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Finding the Third Proportional to 192,828 and 400,233

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Solution

The third proportional to 192,828 and 400,233 is: 830,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,828 : 400,233 = 400,233 : x
  2. Step 2: Convert to fraction form
    192,828/400,233 = 400,233/x
  3. Step 3: Cross multiply
    192,828x = 400,233 × 400,233
  4. Step 4: Simplify right side
    192,828x = 160,186,454,289
  5. Step 5: Solve for x
    x = 160,186,454,289/192,828
  6. Step 6: Final answer
    x = 830,721.96

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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.