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Finding the Third Proportional to 164,469 and 246,034

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Solution

The third proportional to 164,469 and 246,034 is: 368,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,469 : 246,034 = 246,034 : x
  2. Step 2: Convert to fraction form
    164,469/246,034 = 246,034/x
  3. Step 3: Cross multiply
    164,469x = 246,034 × 246,034
  4. Step 4: Simplify right side
    164,469x = 60,532,729,156
  5. Step 5: Solve for x
    x = 60,532,729,156/164,469
  6. Step 6: Final answer
    x = 368,049.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.