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Finding the Third Proportional to 133,837 and 297,198

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Solution

The third proportional to 133,837 and 297,198 is: 659,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,837 : 297,198 = 297,198 : x
  2. Step 2: Convert to fraction form
    133,837/297,198 = 297,198/x
  3. Step 3: Cross multiply
    133,837x = 297,198 × 297,198
  4. Step 4: Simplify right side
    133,837x = 88,326,651,204
  5. Step 5: Solve for x
    x = 88,326,651,204/133,837
  6. Step 6: Final answer
    x = 659,956.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.