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Finding the Third Proportional to 208,162 and 451,322

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Solution

The third proportional to 208,162 and 451,322 is: 978,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,162 : 451,322 = 451,322 : x
  2. Step 2: Convert to fraction form
    208,162/451,322 = 451,322/x
  3. Step 3: Cross multiply
    208,162x = 451,322 × 451,322
  4. Step 4: Simplify right side
    208,162x = 203,691,547,684
  5. Step 5: Solve for x
    x = 203,691,547,684/208,162
  6. Step 6: Final answer
    x = 978,524.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.