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Finding the Third Proportional to 204,033.75 and 444,207

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Solution

The third proportional to 204,033.75 and 444,207 is: 967,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033.75 : 444,207 = 444,207 : x
  2. Step 2: Convert to fraction form
    204,033.75/444,207 = 444,207/x
  3. Step 3: Cross multiply
    204,033.75x = 444,207 × 444,207
  4. Step 4: Simplify right side
    204,033.75x = 197,319,858,849
  5. Step 5: Solve for x
    x = 197,319,858,849/204,033.75
  6. Step 6: Final answer
    x = 967,094.21

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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.