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Finding the Third Proportional to 198,015.25 and 434,029.75

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Solution

The third proportional to 198,015.25 and 434,029.75 is: 951,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,015.25 : 434,029.75 = 434,029.75 : x
  2. Step 2: Convert to fraction form
    198,015.25/434,029.75 = 434,029.75/x
  3. Step 3: Cross multiply
    198,015.25x = 434,029.75 × 434,029.75
  4. Step 4: Simplify right side
    198,015.25x = 188,381,823,885.06
  5. Step 5: Solve for x
    x = 188,381,823,885.06/198,015.25
  6. Step 6: Final answer
    x = 951,350.08

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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.