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Finding the Third Proportional to 133,206 and 285,366

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Solution

The third proportional to 133,206 and 285,366 is: 611,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206 : 285,366 = 285,366 : x
  2. Step 2: Convert to fraction form
    133,206/285,366 = 285,366/x
  3. Step 3: Cross multiply
    133,206x = 285,366 × 285,366
  4. Step 4: Simplify right side
    133,206x = 81,433,753,956
  5. Step 5: Solve for x
    x = 81,433,753,956/133,206
  6. Step 6: Final answer
    x = 611,336.98

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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.