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Finding the Third Proportional to 197,923 and 306,593

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Solution

The third proportional to 197,923 and 306,593 is: 474,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,923 : 306,593 = 306,593 : x
  2. Step 2: Convert to fraction form
    197,923/306,593 = 306,593/x
  3. Step 3: Cross multiply
    197,923x = 306,593 × 306,593
  4. Step 4: Simplify right side
    197,923x = 93,999,267,649
  5. Step 5: Solve for x
    x = 93,999,267,649/197,923
  6. Step 6: Final answer
    x = 474,928.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.