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Finding the Third Proportional to 203,747.63 and 442,500.75

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Solution

The third proportional to 203,747.63 and 442,500.75 is: 961,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,747.63 : 442,500.75 = 442,500.75 : x
  2. Step 2: Convert to fraction form
    203,747.63/442,500.75 = 442,500.75/x
  3. Step 3: Cross multiply
    203,747.63x = 442,500.75 × 442,500.75
  4. Step 4: Simplify right side
    203,747.63x = 195,806,913,750.56
  5. Step 5: Solve for x
    x = 195,806,913,750.56/203,747.63
  6. Step 6: Final answer
    x = 961,026.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.