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Finding the Third Proportional to 166,467 and 366,868

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Solution

The third proportional to 166,467 and 366,868 is: 808,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,467 : 366,868 = 366,868 : x
  2. Step 2: Convert to fraction form
    166,467/366,868 = 366,868/x
  3. Step 3: Cross multiply
    166,467x = 366,868 × 366,868
  4. Step 4: Simplify right side
    166,467x = 134,592,129,424
  5. Step 5: Solve for x
    x = 134,592,129,424/166,467
  6. Step 6: Final answer
    x = 808,521.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.