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Finding the Third Proportional to 203,739 and 276,694.50

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Solution

The third proportional to 203,739 and 276,694.50 is: 375,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,739 : 276,694.50 = 276,694.50 : x
  2. Step 2: Convert to fraction form
    203,739/276,694.50 = 276,694.50/x
  3. Step 3: Cross multiply
    203,739x = 276,694.50 × 276,694.50
  4. Step 4: Simplify right side
    203,739x = 76,559,846,330.25
  5. Step 5: Solve for x
    x = 76,559,846,330.25/203,739
  6. Step 6: Final answer
    x = 375,774.13

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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.