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Finding the Third Proportional to 133,247 and 205,016

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Solution

The third proportional to 133,247 and 205,016 is: 315,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,247 : 205,016 = 205,016 : x
  2. Step 2: Convert to fraction form
    133,247/205,016 = 205,016/x
  3. Step 3: Cross multiply
    133,247x = 205,016 × 205,016
  4. Step 4: Simplify right side
    133,247x = 42,031,560,256
  5. Step 5: Solve for x
    x = 42,031,560,256/133,247
  6. Step 6: Final answer
    x = 315,440.95

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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.