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Finding the Third Proportional to 198,639.75 and 434,415.75

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Solution

The third proportional to 198,639.75 and 434,415.75 is: 950,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,639.75 : 434,415.75 = 434,415.75 : x
  2. Step 2: Convert to fraction form
    198,639.75/434,415.75 = 434,415.75/x
  3. Step 3: Cross multiply
    198,639.75x = 434,415.75 × 434,415.75
  4. Step 4: Simplify right side
    198,639.75x = 188,717,043,848.06
  5. Step 5: Solve for x
    x = 188,717,043,848.06/198,639.75
  6. Step 6: Final answer
    x = 950,046.72

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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.