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Finding the Third Proportional to 192,927 and 417,930

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Solution

The third proportional to 192,927 and 417,930 is: 905,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,927 : 417,930 = 417,930 : x
  2. Step 2: Convert to fraction form
    192,927/417,930 = 417,930/x
  3. Step 3: Cross multiply
    192,927x = 417,930 × 417,930
  4. Step 4: Simplify right side
    192,927x = 174,665,484,900
  5. Step 5: Solve for x
    x = 174,665,484,900/192,927
  6. Step 6: Final answer
    x = 905,344.95

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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.