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Finding the Third Proportional to 88,225 and 192,311

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Solution

The third proportional to 88,225 and 192,311 is: 419,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,225 : 192,311 = 192,311 : x
  2. Step 2: Convert to fraction form
    88,225/192,311 = 192,311/x
  3. Step 3: Cross multiply
    88,225x = 192,311 × 192,311
  4. Step 4: Simplify right side
    88,225x = 36,983,520,721
  5. Step 5: Solve for x
    x = 36,983,520,721/88,225
  6. Step 6: Final answer
    x = 419,195.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.