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Finding the Third Proportional to 133,794 and 207,279

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Solution

The third proportional to 133,794 and 207,279 is: 321,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,794 : 207,279 = 207,279 : x
  2. Step 2: Convert to fraction form
    133,794/207,279 = 207,279/x
  3. Step 3: Cross multiply
    133,794x = 207,279 × 207,279
  4. Step 4: Simplify right side
    133,794x = 42,964,583,841
  5. Step 5: Solve for x
    x = 42,964,583,841/133,794
  6. Step 6: Final answer
    x = 321,124.89

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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.