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Finding the Third Proportional to 164,934 and 246,966

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Solution

The third proportional to 164,934 and 246,966 is: 369,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,934 : 246,966 = 246,966 : x
  2. Step 2: Convert to fraction form
    164,934/246,966 = 246,966/x
  3. Step 3: Cross multiply
    164,934x = 246,966 × 246,966
  4. Step 4: Simplify right side
    164,934x = 60,992,205,156
  5. Step 5: Solve for x
    x = 60,992,205,156/164,934
  6. Step 6: Final answer
    x = 369,797.65

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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.