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Finding the Third Proportional to 171,123 and 366,234

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Solution

The third proportional to 171,123 and 366,234 is: 783,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,123 : 366,234 = 366,234 : x
  2. Step 2: Convert to fraction form
    171,123/366,234 = 366,234/x
  3. Step 3: Cross multiply
    171,123x = 366,234 × 366,234
  4. Step 4: Simplify right side
    171,123x = 134,127,342,756
  5. Step 5: Solve for x
    x = 134,127,342,756/171,123
  6. Step 6: Final answer
    x = 783,806.63

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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.