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Finding the Third Proportional to 80,221.50 and 171,831

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Solution

The third proportional to 80,221.50 and 171,831 is: 368,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,221.50 : 171,831 = 171,831 : x
  2. Step 2: Convert to fraction form
    80,221.50/171,831 = 171,831/x
  3. Step 3: Cross multiply
    80,221.50x = 171,831 × 171,831
  4. Step 4: Simplify right side
    80,221.50x = 29,525,892,561
  5. Step 5: Solve for x
    x = 29,525,892,561/80,221.50
  6. Step 6: Final answer
    x = 368,054.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.