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Finding the Third Proportional to 119,596 and 246,966

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Solution

The third proportional to 119,596 and 246,966 is: 509,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,596 : 246,966 = 246,966 : x
  2. Step 2: Convert to fraction form
    119,596/246,966 = 246,966/x
  3. Step 3: Cross multiply
    119,596x = 246,966 × 246,966
  4. Step 4: Simplify right side
    119,596x = 60,992,205,156
  5. Step 5: Solve for x
    x = 60,992,205,156/119,596
  6. Step 6: Final answer
    x = 509,985.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.