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Finding the Third Proportional to 192,096 and 290,796

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Solution

The third proportional to 192,096 and 290,796 is: 440,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,096 : 290,796 = 290,796 : x
  2. Step 2: Convert to fraction form
    192,096/290,796 = 290,796/x
  3. Step 3: Cross multiply
    192,096x = 290,796 × 290,796
  4. Step 4: Simplify right side
    192,096x = 84,562,313,616
  5. Step 5: Solve for x
    x = 84,562,313,616/192,096
  6. Step 6: Final answer
    x = 440,208.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.