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Finding the Third Proportional to 87,783 and 194,546

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Solution

The third proportional to 87,783 and 194,546 is: 431,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,783 : 194,546 = 194,546 : x
  2. Step 2: Convert to fraction form
    87,783/194,546 = 194,546/x
  3. Step 3: Cross multiply
    87,783x = 194,546 × 194,546
  4. Step 4: Simplify right side
    87,783x = 37,848,146,116
  5. Step 5: Solve for x
    x = 37,848,146,116/87,783
  6. Step 6: Final answer
    x = 431,155.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.