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Finding the Third Proportional to 192,996 and 418,996

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Solution

The third proportional to 192,996 and 418,996 is: 909,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,996 : 418,996 = 418,996 : x
  2. Step 2: Convert to fraction form
    192,996/418,996 = 418,996/x
  3. Step 3: Cross multiply
    192,996x = 418,996 × 418,996
  4. Step 4: Simplify right side
    192,996x = 175,557,648,016
  5. Step 5: Solve for x
    x = 175,557,648,016/192,996
  6. Step 6: Final answer
    x = 909,643.97

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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.