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Finding the Third Proportional to 180,867 and 247,846

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Solution

The third proportional to 180,867 and 247,846 is: 339,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,867 : 247,846 = 247,846 : x
  2. Step 2: Convert to fraction form
    180,867/247,846 = 247,846/x
  3. Step 3: Cross multiply
    180,867x = 247,846 × 247,846
  4. Step 4: Simplify right side
    180,867x = 61,427,639,716
  5. Step 5: Solve for x
    x = 61,427,639,716/180,867
  6. Step 6: Final answer
    x = 339,628.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.