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Finding the Third Proportional to 164,676 and 335,172

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Solution

The third proportional to 164,676 and 335,172 is: 682,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,676 : 335,172 = 335,172 : x
  2. Step 2: Convert to fraction form
    164,676/335,172 = 335,172/x
  3. Step 3: Cross multiply
    164,676x = 335,172 × 335,172
  4. Step 4: Simplify right side
    164,676x = 112,340,269,584
  5. Step 5: Solve for x
    x = 112,340,269,584/164,676
  6. Step 6: Final answer
    x = 682,189.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.