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Finding the Third Proportional to 192,253.50 and 414,089.30

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Solution

The third proportional to 192,253.50 and 414,089.30 is: 891,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,253.50 : 414,089.30 = 414,089.30 : x
  2. Step 2: Convert to fraction form
    192,253.50/414,089.30 = 414,089.30/x
  3. Step 3: Cross multiply
    192,253.50x = 414,089.30 × 414,089.30
  4. Step 4: Simplify right side
    192,253.50x = 171,469,945,786.43
  5. Step 5: Solve for x
    x = 171,469,945,786.43/192,253.50
  6. Step 6: Final answer
    x = 891,895.05

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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.