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Finding the Third Proportional to 159,162.75 and 342,027.56

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Solution

The third proportional to 159,162.75 and 342,027.56 is: 734,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,162.75 : 342,027.56 = 342,027.56 : x
  2. Step 2: Convert to fraction form
    159,162.75/342,027.56 = 342,027.56/x
  3. Step 3: Cross multiply
    159,162.75x = 342,027.56 × 342,027.56
  4. Step 4: Simplify right side
    159,162.75x = 116,982,853,509.69
  5. Step 5: Solve for x
    x = 116,982,853,509.69/159,162.75
  6. Step 6: Final answer
    x = 734,988.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.