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Finding the Third Proportional to 204,358.50 and 445,497.50

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Solution

The third proportional to 204,358.50 and 445,497.50 is: 971,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,358.50 : 445,497.50 = 445,497.50 : x
  2. Step 2: Convert to fraction form
    204,358.50/445,497.50 = 445,497.50/x
  3. Step 3: Cross multiply
    204,358.50x = 445,497.50 × 445,497.50
  4. Step 4: Simplify right side
    204,358.50x = 198,468,022,506.25
  5. Step 5: Solve for x
    x = 198,468,022,506.25/204,358.50
  6. Step 6: Final answer
    x = 971,175.76

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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.