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Finding the Third Proportional to 204,814.83 and 445,532.91

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Solution

The third proportional to 204,814.83 and 445,532.91 is: 969,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,814.83 : 445,532.91 = 445,532.91 : x
  2. Step 2: Convert to fraction form
    204,814.83/445,532.91 = 445,532.91/x
  3. Step 3: Cross multiply
    204,814.83x = 445,532.91 × 445,532.91
  4. Step 4: Simplify right side
    204,814.83x = 198,499,570,551.57
  5. Step 5: Solve for x
    x = 198,499,570,551.57/204,814.83
  6. Step 6: Final answer
    x = 969,166.01

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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.