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Finding the Third Proportional to 189,192 and 283,266

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Solution

The third proportional to 189,192 and 283,266 is: 424,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192 : 283,266 = 283,266 : x
  2. Step 2: Convert to fraction form
    189,192/283,266 = 283,266/x
  3. Step 3: Cross multiply
    189,192x = 283,266 × 283,266
  4. Step 4: Simplify right side
    189,192x = 80,239,626,756
  5. Step 5: Solve for x
    x = 80,239,626,756/189,192
  6. Step 6: Final answer
    x = 424,117.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.