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Finding the Third Proportional to 133,794 and 206,571

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Solution

The third proportional to 133,794 and 206,571 is: 318,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,794 : 206,571 = 206,571 : x
  2. Step 2: Convert to fraction form
    133,794/206,571 = 206,571/x
  3. Step 3: Cross multiply
    133,794x = 206,571 × 206,571
  4. Step 4: Simplify right side
    133,794x = 42,671,578,041
  5. Step 5: Solve for x
    x = 42,671,578,041/133,794
  6. Step 6: Final answer
    x = 318,934.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.