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Finding the Third Proportional to 159,098.25 and 343,091.25

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Solution

The third proportional to 159,098.25 and 343,091.25 is: 739,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,098.25 : 343,091.25 = 343,091.25 : x
  2. Step 2: Convert to fraction form
    159,098.25/343,091.25 = 343,091.25/x
  3. Step 3: Cross multiply
    159,098.25x = 343,091.25 × 343,091.25
  4. Step 4: Simplify right side
    159,098.25x = 117,711,605,826.56
  5. Step 5: Solve for x
    x = 117,711,605,826.56/159,098.25
  6. Step 6: Final answer
    x = 739,867.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.