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Finding the Third Proportional to 199,084 and 308,266

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Solution

The third proportional to 199,084 and 308,266 is: 477,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,084 : 308,266 = 308,266 : x
  2. Step 2: Convert to fraction form
    199,084/308,266 = 308,266/x
  3. Step 3: Cross multiply
    199,084x = 308,266 × 308,266
  4. Step 4: Simplify right side
    199,084x = 95,027,926,756
  5. Step 5: Solve for x
    x = 95,027,926,756/199,084
  6. Step 6: Final answer
    x = 477,325.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.