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Finding the Third Proportional to 198,682.31 and 434,246.06

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Solution

The third proportional to 198,682.31 and 434,246.06 is: 949,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,682.31 : 434,246.06 = 434,246.06 : x
  2. Step 2: Convert to fraction form
    198,682.31/434,246.06 = 434,246.06/x
  3. Step 3: Cross multiply
    198,682.31x = 434,246.06 × 434,246.06
  4. Step 4: Simplify right side
    198,682.31x = 188,569,642,796.75
  5. Step 5: Solve for x
    x = 188,569,642,796.75/198,682.31
  6. Step 6: Final answer
    x = 949,101.31

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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.