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Finding the Third Proportional to 192,048 and 290,727

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Solution

The third proportional to 192,048 and 290,727 is: 440,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,048 : 290,727 = 290,727 : x
  2. Step 2: Convert to fraction form
    192,048/290,727 = 290,727/x
  3. Step 3: Cross multiply
    192,048x = 290,727 × 290,727
  4. Step 4: Simplify right side
    192,048x = 84,522,188,529
  5. Step 5: Solve for x
    x = 84,522,188,529/192,048
  6. Step 6: Final answer
    x = 440,109.70

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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.