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Finding the Third Proportional to 159,104.25 and 339,531.75

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Solution

The third proportional to 159,104.25 and 339,531.75 is: 724,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,104.25 : 339,531.75 = 339,531.75 : x
  2. Step 2: Convert to fraction form
    159,104.25/339,531.75 = 339,531.75/x
  3. Step 3: Cross multiply
    159,104.25x = 339,531.75 × 339,531.75
  4. Step 4: Simplify right side
    159,104.25x = 115,281,809,258.06
  5. Step 5: Solve for x
    x = 115,281,809,258.06/159,104.25
  6. Step 6: Final answer
    x = 724,567.76

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