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Finding the Third Proportional to 192,786 and 417,753

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Solution

The third proportional to 192,786 and 417,753 is: 905,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,786 : 417,753 = 417,753 : x
  2. Step 2: Convert to fraction form
    192,786/417,753 = 417,753/x
  3. Step 3: Cross multiply
    192,786x = 417,753 × 417,753
  4. Step 4: Simplify right side
    192,786x = 174,517,569,009
  5. Step 5: Solve for x
    x = 174,517,569,009/192,786
  6. Step 6: Final answer
    x = 905,239.85

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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.