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Finding the Third Proportional to 198,640.50 and 434,418

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Solution

The third proportional to 198,640.50 and 434,418 is: 950,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,640.50 : 434,418 = 434,418 : x
  2. Step 2: Convert to fraction form
    198,640.50/434,418 = 434,418/x
  3. Step 3: Cross multiply
    198,640.50x = 434,418 × 434,418
  4. Step 4: Simplify right side
    198,640.50x = 188,718,998,724
  5. Step 5: Solve for x
    x = 188,718,998,724/198,640.50
  6. Step 6: Final answer
    x = 950,052.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.