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Finding the Third Proportional to 171,469.50 and 231,295.50

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Solution

The third proportional to 171,469.50 and 231,295.50 is: 311,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,469.50 : 231,295.50 = 231,295.50 : x
  2. Step 2: Convert to fraction form
    171,469.50/231,295.50 = 231,295.50/x
  3. Step 3: Cross multiply
    171,469.50x = 231,295.50 × 231,295.50
  4. Step 4: Simplify right side
    171,469.50x = 53,497,608,320.25
  5. Step 5: Solve for x
    x = 53,497,608,320.25/171,469.50
  6. Step 6: Final answer
    x = 311,994.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.