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Finding the Third Proportional to 133,387.50 and 203,469

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Solution

The third proportional to 133,387.50 and 203,469 is: 310,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,387.50 : 203,469 = 203,469 : x
  2. Step 2: Convert to fraction form
    133,387.50/203,469 = 203,469/x
  3. Step 3: Cross multiply
    133,387.50x = 203,469 × 203,469
  4. Step 4: Simplify right side
    133,387.50x = 41,399,633,961
  5. Step 5: Solve for x
    x = 41,399,633,961/133,387.50
  6. Step 6: Final answer
    x = 310,371.17

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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.