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Finding the Third Proportional to 117,508 and 246,504

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Solution

The third proportional to 117,508 and 246,504 is: 517,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,508 : 246,504 = 246,504 : x
  2. Step 2: Convert to fraction form
    117,508/246,504 = 246,504/x
  3. Step 3: Cross multiply
    117,508x = 246,504 × 246,504
  4. Step 4: Simplify right side
    117,508x = 60,764,222,016
  5. Step 5: Solve for x
    x = 60,764,222,016/117,508
  6. Step 6: Final answer
    x = 517,107.11

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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.