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Finding the Third Proportional to 161,704.69 and 231,553.69

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Solution

The third proportional to 161,704.69 and 231,553.69 is: 331,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,704.69 : 231,553.69 = 231,553.69 : x
  2. Step 2: Convert to fraction form
    161,704.69/231,553.69 = 231,553.69/x
  3. Step 3: Cross multiply
    161,704.69x = 231,553.69 × 231,553.69
  4. Step 4: Simplify right side
    161,704.69x = 53,617,110,194.85
  5. Step 5: Solve for x
    x = 53,617,110,194.85/161,704.69
  6. Step 6: Final answer
    x = 331,574.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.