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Finding the Third Proportional to 204,342.75 and 445,467.94

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Solution

The third proportional to 204,342.75 and 445,467.94 is: 971,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,342.75 : 445,467.94 = 445,467.94 : x
  2. Step 2: Convert to fraction form
    204,342.75/445,467.94 = 445,467.94/x
  3. Step 3: Cross multiply
    204,342.75x = 445,467.94 × 445,467.94
  4. Step 4: Simplify right side
    204,342.75x = 198,441,683,340.50
  5. Step 5: Solve for x
    x = 198,441,683,340.50/204,342.75
  6. Step 6: Final answer
    x = 971,121.72

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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.