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Finding the Third Proportional to 180,674 and 381,697

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Solution

The third proportional to 180,674 and 381,697 is: 806,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,674 : 381,697 = 381,697 : x
  2. Step 2: Convert to fraction form
    180,674/381,697 = 381,697/x
  3. Step 3: Cross multiply
    180,674x = 381,697 × 381,697
  4. Step 4: Simplify right side
    180,674x = 145,692,599,809
  5. Step 5: Solve for x
    x = 145,692,599,809/180,674
  6. Step 6: Final answer
    x = 806,383.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.