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Finding the Third Proportional to 80,998.73 and 176,736.94

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Solution

The third proportional to 80,998.73 and 176,736.94 is: 385,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,998.73 : 176,736.94 = 176,736.94 : x
  2. Step 2: Convert to fraction form
    80,998.73/176,736.94 = 176,736.94/x
  3. Step 3: Cross multiply
    80,998.73x = 176,736.94 × 176,736.94
  4. Step 4: Simplify right side
    80,998.73x = 31,235,945,076.88
  5. Step 5: Solve for x
    x = 31,235,945,076.88/80,998.73
  6. Step 6: Final answer
    x = 385,634.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.