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Finding the Third Proportional to 158,590.41 and 332,749.27

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Solution

The third proportional to 158,590.41 and 332,749.27 is: 698,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,590.41 : 332,749.27 = 332,749.27 : x
  2. Step 2: Convert to fraction form
    158,590.41/332,749.27 = 332,749.27/x
  3. Step 3: Cross multiply
    158,590.41x = 332,749.27 × 332,749.27
  4. Step 4: Simplify right side
    158,590.41x = 110,722,073,773.98
  5. Step 5: Solve for x
    x = 110,722,073,773.98/158,590.41
  6. Step 6: Final answer
    x = 698,163.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.