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Finding the Third Proportional to 192,904 and 418,005

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Solution

The third proportional to 192,904 and 418,005 is: 905,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,904 : 418,005 = 418,005 : x
  2. Step 2: Convert to fraction form
    192,904/418,005 = 418,005/x
  3. Step 3: Cross multiply
    192,904x = 418,005 × 418,005
  4. Step 4: Simplify right side
    192,904x = 174,728,180,025
  5. Step 5: Solve for x
    x = 174,728,180,025/192,904
  6. Step 6: Final answer
    x = 905,777.90

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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.