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Finding the Third Proportional to 198,048.38 and 427,662

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Solution

The third proportional to 198,048.38 and 427,662 is: 923,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,048.38 : 427,662 = 427,662 : x
  2. Step 2: Convert to fraction form
    198,048.38/427,662 = 427,662/x
  3. Step 3: Cross multiply
    198,048.38x = 427,662 × 427,662
  4. Step 4: Simplify right side
    198,048.38x = 182,894,786,244
  5. Step 5: Solve for x
    x = 182,894,786,244/198,048.38
  6. Step 6: Final answer
    x = 923,485.42

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