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Finding the Third Proportional to 207,339 and 444,162

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Solution

The third proportional to 207,339 and 444,162 is: 951,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,339 : 444,162 = 444,162 : x
  2. Step 2: Convert to fraction form
    207,339/444,162 = 444,162/x
  3. Step 3: Cross multiply
    207,339x = 444,162 × 444,162
  4. Step 4: Simplify right side
    207,339x = 197,279,882,244
  5. Step 5: Solve for x
    x = 197,279,882,244/207,339
  6. Step 6: Final answer
    x = 951,484.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.