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Finding the Third Proportional to 191,226 and 420,198

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Solution

The third proportional to 191,226 and 420,198 is: 923,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,226 : 420,198 = 420,198 : x
  2. Step 2: Convert to fraction form
    191,226/420,198 = 420,198/x
  3. Step 3: Cross multiply
    191,226x = 420,198 × 420,198
  4. Step 4: Simplify right side
    191,226x = 176,566,359,204
  5. Step 5: Solve for x
    x = 176,566,359,204/191,226
  6. Step 6: Final answer
    x = 923,338.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.