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Finding the Third Proportional to 202,198 and 317,162

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Solution

The third proportional to 202,198 and 317,162 is: 497,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198 : 317,162 = 317,162 : x
  2. Step 2: Convert to fraction form
    202,198/317,162 = 317,162/x
  3. Step 3: Cross multiply
    202,198x = 317,162 × 317,162
  4. Step 4: Simplify right side
    202,198x = 100,591,734,244
  5. Step 5: Solve for x
    x = 100,591,734,244/202,198
  6. Step 6: Final answer
    x = 497,491.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.