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Finding the Third Proportional to 164,302 and 336,375

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Solution

The third proportional to 164,302 and 336,375 is: 688,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,302 : 336,375 = 336,375 : x
  2. Step 2: Convert to fraction form
    164,302/336,375 = 336,375/x
  3. Step 3: Cross multiply
    164,302x = 336,375 × 336,375
  4. Step 4: Simplify right side
    164,302x = 113,148,140,625
  5. Step 5: Solve for x
    x = 113,148,140,625/164,302
  6. Step 6: Final answer
    x = 688,659.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.