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Finding the Third Proportional to 204,343.88 and 445,470.75

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Solution

The third proportional to 204,343.88 and 445,470.75 is: 971,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,343.88 : 445,470.75 = 445,470.75 : x
  2. Step 2: Convert to fraction form
    204,343.88/445,470.75 = 445,470.75/x
  3. Step 3: Cross multiply
    204,343.88x = 445,470.75 × 445,470.75
  4. Step 4: Simplify right side
    204,343.88x = 198,444,189,105.56
  5. Step 5: Solve for x
    x = 198,444,189,105.56/204,343.88
  6. Step 6: Final answer
    x = 971,128.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.