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Finding the Third Proportional to 166,525.88 and 225,731.81

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Solution

The third proportional to 166,525.88 and 225,731.81 is: 305,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,525.88 : 225,731.81 = 225,731.81 : x
  2. Step 2: Convert to fraction form
    166,525.88/225,731.81 = 225,731.81/x
  3. Step 3: Cross multiply
    166,525.88x = 225,731.81 × 225,731.81
  4. Step 4: Simplify right side
    166,525.88x = 50,954,851,174.54
  5. Step 5: Solve for x
    x = 50,954,851,174.54/166,525.88
  6. Step 6: Final answer
    x = 305,987.59

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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.