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Finding the Third Proportional to 192,974 and 418,144

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Solution

The third proportional to 192,974 and 418,144 is: 906,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,974 : 418,144 = 418,144 : x
  2. Step 2: Convert to fraction form
    192,974/418,144 = 418,144/x
  3. Step 3: Cross multiply
    192,974x = 418,144 × 418,144
  4. Step 4: Simplify right side
    192,974x = 174,844,404,736
  5. Step 5: Solve for x
    x = 174,844,404,736/192,974
  6. Step 6: Final answer
    x = 906,051.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.