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Finding the Third Proportional to 174,233 and 381,667

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Solution

The third proportional to 174,233 and 381,667 is: 836,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,233 : 381,667 = 381,667 : x
  2. Step 2: Convert to fraction form
    174,233/381,667 = 381,667/x
  3. Step 3: Cross multiply
    174,233x = 381,667 × 381,667
  4. Step 4: Simplify right side
    174,233x = 145,669,698,889
  5. Step 5: Solve for x
    x = 145,669,698,889/174,233
  6. Step 6: Final answer
    x = 836,062.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.