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Finding the Third Proportional to 192,368 and 419,728

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Solution

The third proportional to 192,368 and 419,728 is: 915,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,368 : 419,728 = 419,728 : x
  2. Step 2: Convert to fraction form
    192,368/419,728 = 419,728/x
  3. Step 3: Cross multiply
    192,368x = 419,728 × 419,728
  4. Step 4: Simplify right side
    192,368x = 176,171,593,984
  5. Step 5: Solve for x
    x = 176,171,593,984/192,368
  6. Step 6: Final answer
    x = 915,805.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.