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Finding the Third Proportional to 94,286 and 198,266

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Solution

The third proportional to 94,286 and 198,266 is: 416,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,286 : 198,266 = 198,266 : x
  2. Step 2: Convert to fraction form
    94,286/198,266 = 198,266/x
  3. Step 3: Cross multiply
    94,286x = 198,266 × 198,266
  4. Step 4: Simplify right side
    94,286x = 39,309,406,756
  5. Step 5: Solve for x
    x = 39,309,406,756/94,286
  6. Step 6: Final answer
    x = 416,916.69

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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.