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Finding the Third Proportional to 166,216 and 342,234

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Solution

The third proportional to 166,216 and 342,234 is: 704,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,216 : 342,234 = 342,234 : x
  2. Step 2: Convert to fraction form
    166,216/342,234 = 342,234/x
  3. Step 3: Cross multiply
    166,216x = 342,234 × 342,234
  4. Step 4: Simplify right side
    166,216x = 117,124,110,756
  5. Step 5: Solve for x
    x = 117,124,110,756/166,216
  6. Step 6: Final answer
    x = 704,650.04

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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.