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Finding the Third Proportional to 244,842 and 366,126

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Solution

The third proportional to 244,842 and 366,126 is: 547,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,842 : 366,126 = 366,126 : x
  2. Step 2: Convert to fraction form
    244,842/366,126 = 366,126/x
  3. Step 3: Cross multiply
    244,842x = 366,126 × 366,126
  4. Step 4: Simplify right side
    244,842x = 134,048,247,876
  5. Step 5: Solve for x
    x = 134,048,247,876/244,842
  6. Step 6: Final answer
    x = 547,488.78

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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.