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Finding the Third Proportional to 166,212 and 342,225

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Solution

The third proportional to 166,212 and 342,225 is: 704,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,212 : 342,225 = 342,225 : x
  2. Step 2: Convert to fraction form
    166,212/342,225 = 342,225/x
  3. Step 3: Cross multiply
    166,212x = 342,225 × 342,225
  4. Step 4: Simplify right side
    166,212x = 117,117,950,625
  5. Step 5: Solve for x
    x = 117,117,950,625/166,212
  6. Step 6: Final answer
    x = 704,629.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.