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Finding the Third Proportional to 244,680 and 378,162

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Solution

The third proportional to 244,680 and 378,162 is: 584,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,680 : 378,162 = 378,162 : x
  2. Step 2: Convert to fraction form
    244,680/378,162 = 378,162/x
  3. Step 3: Cross multiply
    244,680x = 378,162 × 378,162
  4. Step 4: Simplify right side
    244,680x = 143,006,498,244
  5. Step 5: Solve for x
    x = 143,006,498,244/244,680
  6. Step 6: Final answer
    x = 584,463.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.