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Finding the Third Proportional to 166,226 and 356,266

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Solution

The third proportional to 166,226 and 356,266 is: 763,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,226 : 356,266 = 356,266 : x
  2. Step 2: Convert to fraction form
    166,226/356,266 = 356,266/x
  3. Step 3: Cross multiply
    166,226x = 356,266 × 356,266
  4. Step 4: Simplify right side
    166,226x = 126,925,462,756
  5. Step 5: Solve for x
    x = 126,925,462,756/166,226
  6. Step 6: Final answer
    x = 763,571.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.