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Finding the Third Proportional to 198,066 and 427,694

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Solution

The third proportional to 198,066 and 427,694 is: 923,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,066 : 427,694 = 427,694 : x
  2. Step 2: Convert to fraction form
    198,066/427,694 = 427,694/x
  3. Step 3: Cross multiply
    198,066x = 427,694 × 427,694
  4. Step 4: Simplify right side
    198,066x = 182,922,157,636
  5. Step 5: Solve for x
    x = 182,922,157,636/198,066
  6. Step 6: Final answer
    x = 923,541.43

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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.