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Finding the Third Proportional to 150,414 and 225,653

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Solution

The third proportional to 150,414 and 225,653 is: 338,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,414 : 225,653 = 225,653 : x
  2. Step 2: Convert to fraction form
    150,414/225,653 = 225,653/x
  3. Step 3: Cross multiply
    150,414x = 225,653 × 225,653
  4. Step 4: Simplify right side
    150,414x = 50,919,276,409
  5. Step 5: Solve for x
    x = 50,919,276,409/150,414
  6. Step 6: Final answer
    x = 338,527.51

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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.