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Finding the Third Proportional to 198,219 and 422,052

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Solution

The third proportional to 198,219 and 422,052 is: 898,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,219 : 422,052 = 422,052 : x
  2. Step 2: Convert to fraction form
    198,219/422,052 = 422,052/x
  3. Step 3: Cross multiply
    198,219x = 422,052 × 422,052
  4. Step 4: Simplify right side
    198,219x = 178,127,890,704
  5. Step 5: Solve for x
    x = 178,127,890,704/198,219
  6. Step 6: Final answer
    x = 898,641.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.