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Finding the Third Proportional to 164,694 and 335,220

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Solution

The third proportional to 164,694 and 335,220 is: 682,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,694 : 335,220 = 335,220 : x
  2. Step 2: Convert to fraction form
    164,694/335,220 = 335,220/x
  3. Step 3: Cross multiply
    164,694x = 335,220 × 335,220
  4. Step 4: Simplify right side
    164,694x = 112,372,448,400
  5. Step 5: Solve for x
    x = 112,372,448,400/164,694
  6. Step 6: Final answer
    x = 682,310.52

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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.