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Finding the Third Proportional to 78,231.94 and 160,183.13

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Solution

The third proportional to 78,231.94 and 160,183.13 is: 327,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231.94 : 160,183.13 = 160,183.13 : x
  2. Step 2: Convert to fraction form
    78,231.94/160,183.13 = 160,183.13/x
  3. Step 3: Cross multiply
    78,231.94x = 160,183.13 × 160,183.13
  4. Step 4: Simplify right side
    78,231.94x = 25,658,633,534.77
  5. Step 5: Solve for x
    x = 25,658,633,534.77/78,231.94
  6. Step 6: Final answer
    x = 327,981.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.