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Finding the Third Proportional to 166,216.50 and 225,996.75

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Solution

The third proportional to 166,216.50 and 225,996.75 is: 307,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,216.50 : 225,996.75 = 225,996.75 : x
  2. Step 2: Convert to fraction form
    166,216.50/225,996.75 = 225,996.75/x
  3. Step 3: Cross multiply
    166,216.50x = 225,996.75 × 225,996.75
  4. Step 4: Simplify right side
    166,216.50x = 51,074,531,010.56
  5. Step 5: Solve for x
    x = 51,074,531,010.56/166,216.50
  6. Step 6: Final answer
    x = 307,277.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.