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Finding the Third Proportional to 204,038 and 444,214

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Solution

The third proportional to 204,038 and 444,214 is: 967,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038 : 444,214 = 444,214 : x
  2. Step 2: Convert to fraction form
    204,038/444,214 = 444,214/x
  3. Step 3: Cross multiply
    204,038x = 444,214 × 444,214
  4. Step 4: Simplify right side
    204,038x = 197,326,077,796
  5. Step 5: Solve for x
    x = 197,326,077,796/204,038
  6. Step 6: Final answer
    x = 967,104.55

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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.