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Finding the Third Proportional to 197,536 and 434,456

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Solution

The third proportional to 197,536 and 434,456 is: 955,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,536 : 434,456 = 434,456 : x
  2. Step 2: Convert to fraction form
    197,536/434,456 = 434,456/x
  3. Step 3: Cross multiply
    197,536x = 434,456 × 434,456
  4. Step 4: Simplify right side
    197,536x = 188,752,015,936
  5. Step 5: Solve for x
    x = 188,752,015,936/197,536
  6. Step 6: Final answer
    x = 955,532.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.