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Finding the Third Proportional to 138,034.50 and 206,226.75

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Solution

The third proportional to 138,034.50 and 206,226.75 is: 308,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,034.50 : 206,226.75 = 206,226.75 : x
  2. Step 2: Convert to fraction form
    138,034.50/206,226.75 = 206,226.75/x
  3. Step 3: Cross multiply
    138,034.50x = 206,226.75 × 206,226.75
  4. Step 4: Simplify right side
    138,034.50x = 42,529,472,415.56
  5. Step 5: Solve for x
    x = 42,529,472,415.56/138,034.50
  6. Step 6: Final answer
    x = 308,107.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.