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Finding the Third Proportional to 94,269 and 198,234

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Solution

The third proportional to 94,269 and 198,234 is: 416,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,269 : 198,234 = 198,234 : x
  2. Step 2: Convert to fraction form
    94,269/198,234 = 198,234/x
  3. Step 3: Cross multiply
    94,269x = 198,234 × 198,234
  4. Step 4: Simplify right side
    94,269x = 39,296,718,756
  5. Step 5: Solve for x
    x = 39,296,718,756/94,269
  6. Step 6: Final answer
    x = 416,857.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.