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Finding the Third Proportional to 180,927 and 381,672

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Solution

The third proportional to 180,927 and 381,672 is: 805,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,927 : 381,672 = 381,672 : x
  2. Step 2: Convert to fraction form
    180,927/381,672 = 381,672/x
  3. Step 3: Cross multiply
    180,927x = 381,672 × 381,672
  4. Step 4: Simplify right side
    180,927x = 145,673,515,584
  5. Step 5: Solve for x
    x = 145,673,515,584/180,927
  6. Step 6: Final answer
    x = 805,150.78

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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.