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Finding the Third Proportional to 198,493 and 432,676

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Solution

The third proportional to 198,493 and 432,676 is: 943,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,493 : 432,676 = 432,676 : x
  2. Step 2: Convert to fraction form
    198,493/432,676 = 432,676/x
  3. Step 3: Cross multiply
    198,493x = 432,676 × 432,676
  4. Step 4: Simplify right side
    198,493x = 187,208,520,976
  5. Step 5: Solve for x
    x = 187,208,520,976/198,493
  6. Step 6: Final answer
    x = 943,149.23

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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.