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Finding the Third Proportional to 198,041 and 427,651

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Solution

The third proportional to 198,041 and 427,651 is: 923,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,041 : 427,651 = 427,651 : x
  2. Step 2: Convert to fraction form
    198,041/427,651 = 427,651/x
  3. Step 3: Cross multiply
    198,041x = 427,651 × 427,651
  4. Step 4: Simplify right side
    198,041x = 182,885,377,801
  5. Step 5: Solve for x
    x = 182,885,377,801/198,041
  6. Step 6: Final answer
    x = 923,472.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.