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Finding the Third Proportional to 159,747.75 and 340,809.75

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Solution

The third proportional to 159,747.75 and 340,809.75 is: 727,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,747.75 : 340,809.75 = 340,809.75 : x
  2. Step 2: Convert to fraction form
    159,747.75/340,809.75 = 340,809.75/x
  3. Step 3: Cross multiply
    159,747.75x = 340,809.75 × 340,809.75
  4. Step 4: Simplify right side
    159,747.75x = 116,151,285,695.06
  5. Step 5: Solve for x
    x = 116,151,285,695.06/159,747.75
  6. Step 6: Final answer
    x = 727,091.84

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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.