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Finding the Third Proportional to 198,674 and 433,042

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Solution

The third proportional to 198,674 and 433,042 is: 943,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,674 : 433,042 = 433,042 : x
  2. Step 2: Convert to fraction form
    198,674/433,042 = 433,042/x
  3. Step 3: Cross multiply
    198,674x = 433,042 × 433,042
  4. Step 4: Simplify right side
    198,674x = 187,525,373,764
  5. Step 5: Solve for x
    x = 187,525,373,764/198,674
  6. Step 6: Final answer
    x = 943,884.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.