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Finding the Third Proportional to 194,617.50 and 419,232

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Solution

The third proportional to 194,617.50 and 419,232 is: 903,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,617.50 : 419,232 = 419,232 : x
  2. Step 2: Convert to fraction form
    194,617.50/419,232 = 419,232/x
  3. Step 3: Cross multiply
    194,617.50x = 419,232 × 419,232
  4. Step 4: Simplify right side
    194,617.50x = 175,755,469,824
  5. Step 5: Solve for x
    x = 175,755,469,824/194,617.50
  6. Step 6: Final answer
    x = 903,081.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.