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Finding the Third Proportional to 174,606 and 381,204

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Solution

The third proportional to 174,606 and 381,204 is: 832,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,606 : 381,204 = 381,204 : x
  2. Step 2: Convert to fraction form
    174,606/381,204 = 381,204/x
  3. Step 3: Cross multiply
    174,606x = 381,204 × 381,204
  4. Step 4: Simplify right side
    174,606x = 145,316,489,616
  5. Step 5: Solve for x
    x = 145,316,489,616/174,606
  6. Step 6: Final answer
    x = 832,253.70

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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.