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Finding the Third Proportional to 192,290 and 263,807

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Solution

The third proportional to 192,290 and 263,807 is: 361,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,290 : 263,807 = 263,807 : x
  2. Step 2: Convert to fraction form
    192,290/263,807 = 263,807/x
  3. Step 3: Cross multiply
    192,290x = 263,807 × 263,807
  4. Step 4: Simplify right side
    192,290x = 69,594,133,249
  5. Step 5: Solve for x
    x = 69,594,133,249/192,290
  6. Step 6: Final answer
    x = 361,922.79

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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.