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Finding the Third Proportional to 133,367 and 204,505

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Solution

The third proportional to 133,367 and 204,505 is: 313,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,367 : 204,505 = 204,505 : x
  2. Step 2: Convert to fraction form
    133,367/204,505 = 204,505/x
  3. Step 3: Cross multiply
    133,367x = 204,505 × 204,505
  4. Step 4: Simplify right side
    133,367x = 41,822,295,025
  5. Step 5: Solve for x
    x = 41,822,295,025/133,367
  6. Step 6: Final answer
    x = 313,588.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.