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Finding the Third Proportional to 244,142 and 365,972

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Solution

The third proportional to 244,142 and 365,972 is: 548,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,142 : 365,972 = 365,972 : x
  2. Step 2: Convert to fraction form
    244,142/365,972 = 365,972/x
  3. Step 3: Cross multiply
    244,142x = 365,972 × 365,972
  4. Step 4: Simplify right side
    244,142x = 133,935,504,784
  5. Step 5: Solve for x
    x = 133,935,504,784/244,142
  6. Step 6: Final answer
    x = 548,596.74

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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.