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Finding the Third Proportional to 197,048 and 305,738

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Solution

The third proportional to 197,048 and 305,738 is: 474,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,048 : 305,738 = 305,738 : x
  2. Step 2: Convert to fraction form
    197,048/305,738 = 305,738/x
  3. Step 3: Cross multiply
    197,048x = 305,738 × 305,738
  4. Step 4: Simplify right side
    197,048x = 93,475,724,644
  5. Step 5: Solve for x
    x = 93,475,724,644/197,048
  6. Step 6: Final answer
    x = 474,380.48

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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.