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Finding the Third Proportional to 197,666 and 434,698

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Solution

The third proportional to 197,666 and 434,698 is: 955,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666 : 434,698 = 434,698 : x
  2. Step 2: Convert to fraction form
    197,666/434,698 = 434,698/x
  3. Step 3: Cross multiply
    197,666x = 434,698 × 434,698
  4. Step 4: Simplify right side
    197,666x = 188,962,351,204
  5. Step 5: Solve for x
    x = 188,962,351,204/197,666
  6. Step 6: Final answer
    x = 955,967.90

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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.