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Finding the Third Proportional to 166,212 and 225,990

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Solution

The third proportional to 166,212 and 225,990 is: 307,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,212 : 225,990 = 225,990 : x
  2. Step 2: Convert to fraction form
    166,212/225,990 = 225,990/x
  3. Step 3: Cross multiply
    166,212x = 225,990 × 225,990
  4. Step 4: Simplify right side
    166,212x = 51,071,480,100
  5. Step 5: Solve for x
    x = 51,071,480,100/166,212
  6. Step 6: Final answer
    x = 307,267.11

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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.