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Finding the Third Proportional to 203,842 and 276,811

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Solution

The third proportional to 203,842 and 276,811 is: 375,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,842 : 276,811 = 276,811 : x
  2. Step 2: Convert to fraction form
    203,842/276,811 = 276,811/x
  3. Step 3: Cross multiply
    203,842x = 276,811 × 276,811
  4. Step 4: Simplify right side
    203,842x = 76,624,329,721
  5. Step 5: Solve for x
    x = 76,624,329,721/203,842
  6. Step 6: Final answer
    x = 375,900.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.