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Finding the Third Proportional to 198,326 and 407,212

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Solution

The third proportional to 198,326 and 407,212 is: 836,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,326 : 407,212 = 407,212 : x
  2. Step 2: Convert to fraction form
    198,326/407,212 = 407,212/x
  3. Step 3: Cross multiply
    198,326x = 407,212 × 407,212
  4. Step 4: Simplify right side
    198,326x = 165,821,612,944
  5. Step 5: Solve for x
    x = 165,821,612,944/198,326
  6. Step 6: Final answer
    x = 836,106.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.