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Finding the Third Proportional to 194,834 and 291,469

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Solution

The third proportional to 194,834 and 291,469 is: 436,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,834 : 291,469 = 291,469 : x
  2. Step 2: Convert to fraction form
    194,834/291,469 = 291,469/x
  3. Step 3: Cross multiply
    194,834x = 291,469 × 291,469
  4. Step 4: Simplify right side
    194,834x = 84,954,177,961
  5. Step 5: Solve for x
    x = 84,954,177,961/194,834
  6. Step 6: Final answer
    x = 436,033.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.