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Finding the Third Proportional to 197,068 and 303,234

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Solution

The third proportional to 197,068 and 303,234 is: 466,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,068 : 303,234 = 303,234 : x
  2. Step 2: Convert to fraction form
    197,068/303,234 = 303,234/x
  3. Step 3: Cross multiply
    197,068x = 303,234 × 303,234
  4. Step 4: Simplify right side
    197,068x = 91,950,858,756
  5. Step 5: Solve for x
    x = 91,950,858,756/197,068
  6. Step 6: Final answer
    x = 466,594.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.