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Finding the Third Proportional to 197,041 and 305,727

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Solution

The third proportional to 197,041 and 305,727 is: 474,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,041 : 305,727 = 305,727 : x
  2. Step 2: Convert to fraction form
    197,041/305,727 = 305,727/x
  3. Step 3: Cross multiply
    197,041x = 305,727 × 305,727
  4. Step 4: Simplify right side
    197,041x = 93,468,998,529
  5. Step 5: Solve for x
    x = 93,468,998,529/197,041
  6. Step 6: Final answer
    x = 474,363.20

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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.