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Finding the Third Proportional to 197,664 and 434,694

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Solution

The third proportional to 197,664 and 434,694 is: 955,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,664 : 434,694 = 434,694 : x
  2. Step 2: Convert to fraction form
    197,664/434,694 = 434,694/x
  3. Step 3: Cross multiply
    197,664x = 434,694 × 434,694
  4. Step 4: Simplify right side
    197,664x = 188,958,873,636
  5. Step 5: Solve for x
    x = 188,958,873,636/197,664
  6. Step 6: Final answer
    x = 955,959.98

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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.