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Finding the Third Proportional to 192,002 and 263,673

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Solution

The third proportional to 192,002 and 263,673 is: 362,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002 : 263,673 = 263,673 : x
  2. Step 2: Convert to fraction form
    192,002/263,673 = 263,673/x
  3. Step 3: Cross multiply
    192,002x = 263,673 × 263,673
  4. Step 4: Simplify right side
    192,002x = 69,523,450,929
  5. Step 5: Solve for x
    x = 69,523,450,929/192,002
  6. Step 6: Final answer
    x = 362,097.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.