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Finding the Third Proportional to 133,084 and 194,469

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Solution

The third proportional to 133,084 and 194,469 is: 284,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084 : 194,469 = 194,469 : x
  2. Step 2: Convert to fraction form
    133,084/194,469 = 194,469/x
  3. Step 3: Cross multiply
    133,084x = 194,469 × 194,469
  4. Step 4: Simplify right side
    133,084x = 37,818,191,961
  5. Step 5: Solve for x
    x = 37,818,191,961/133,084
  6. Step 6: Final answer
    x = 284,167.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.