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Finding the Third Proportional to 117,504 and 246,496

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Solution

The third proportional to 117,504 and 246,496 is: 517,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,504 : 246,496 = 246,496 : x
  2. Step 2: Convert to fraction form
    117,504/246,496 = 246,496/x
  3. Step 3: Cross multiply
    117,504x = 246,496 × 246,496
  4. Step 4: Simplify right side
    117,504x = 60,760,278,016
  5. Step 5: Solve for x
    x = 60,760,278,016/117,504
  6. Step 6: Final answer
    x = 517,091.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.