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Finding the Third Proportional to 192,024 and 418,992

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Solution

The third proportional to 192,024 and 418,992 is: 914,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,024 : 418,992 = 418,992 : x
  2. Step 2: Convert to fraction form
    192,024/418,992 = 418,992/x
  3. Step 3: Cross multiply
    192,024x = 418,992 × 418,992
  4. Step 4: Simplify right side
    192,024x = 175,554,296,064
  5. Step 5: Solve for x
    x = 175,554,296,064/192,024
  6. Step 6: Final answer
    x = 914,231.01

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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.