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Finding the Third Proportional to 207,112 and 451,856

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Solution

The third proportional to 207,112 and 451,856 is: 985,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,112 : 451,856 = 451,856 : x
  2. Step 2: Convert to fraction form
    207,112/451,856 = 451,856/x
  3. Step 3: Cross multiply
    207,112x = 451,856 × 451,856
  4. Step 4: Simplify right side
    207,112x = 204,173,844,736
  5. Step 5: Solve for x
    x = 204,173,844,736/207,112
  6. Step 6: Final answer
    x = 985,813.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.