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Finding the Third Proportional to 192,992 and 418,994

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Solution

The third proportional to 192,992 and 418,994 is: 909,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,992 : 418,994 = 418,994 : x
  2. Step 2: Convert to fraction form
    192,992/418,994 = 418,994/x
  3. Step 3: Cross multiply
    192,992x = 418,994 × 418,994
  4. Step 4: Simplify right side
    192,992x = 175,555,972,036
  5. Step 5: Solve for x
    x = 175,555,972,036/192,992
  6. Step 6: Final answer
    x = 909,654.14

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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.