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Finding the Third Proportional to 192,177 and 305,370

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Solution

The third proportional to 192,177 and 305,370 is: 485,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,177 : 305,370 = 305,370 : x
  2. Step 2: Convert to fraction form
    192,177/305,370 = 305,370/x
  3. Step 3: Cross multiply
    192,177x = 305,370 × 305,370
  4. Step 4: Simplify right side
    192,177x = 93,250,836,900
  5. Step 5: Solve for x
    x = 93,250,836,900/192,177
  6. Step 6: Final answer
    x = 485,234.12

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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.