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Finding the Third Proportional to 244,144 and 365,975

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Solution

The third proportional to 244,144 and 365,975 is: 548,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,144 : 365,975 = 365,975 : x
  2. Step 2: Convert to fraction form
    244,144/365,975 = 365,975/x
  3. Step 3: Cross multiply
    244,144x = 365,975 × 365,975
  4. Step 4: Simplify right side
    244,144x = 133,937,700,625
  5. Step 5: Solve for x
    x = 133,937,700,625/244,144
  6. Step 6: Final answer
    x = 548,601.24

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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.