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Finding the Third Proportional to 149,449.50 and 222,057

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Solution

The third proportional to 149,449.50 and 222,057 is: 329,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,449.50 : 222,057 = 222,057 : x
  2. Step 2: Convert to fraction form
    149,449.50/222,057 = 222,057/x
  3. Step 3: Cross multiply
    149,449.50x = 222,057 × 222,057
  4. Step 4: Simplify right side
    149,449.50x = 49,309,311,249
  5. Step 5: Solve for x
    x = 49,309,311,249/149,449.50
  6. Step 6: Final answer
    x = 329,939.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.