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Finding the Third Proportional to 159,725.25 and 339,174

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Solution

The third proportional to 159,725.25 and 339,174 is: 720,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,725.25 : 339,174 = 339,174 : x
  2. Step 2: Convert to fraction form
    159,725.25/339,174 = 339,174/x
  3. Step 3: Cross multiply
    159,725.25x = 339,174 × 339,174
  4. Step 4: Simplify right side
    159,725.25x = 115,039,002,276
  5. Step 5: Solve for x
    x = 115,039,002,276/159,725.25
  6. Step 6: Final answer
    x = 720,230.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.