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Finding the Third Proportional to 204,688.27 and 444,167.30

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Solution

The third proportional to 204,688.27 and 444,167.30 is: 963,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,688.27 : 444,167.30 = 444,167.30 : x
  2. Step 2: Convert to fraction form
    204,688.27/444,167.30 = 444,167.30/x
  3. Step 3: Cross multiply
    204,688.27x = 444,167.30 × 444,167.30
  4. Step 4: Simplify right side
    204,688.27x = 197,284,587,613.24
  5. Step 5: Solve for x
    x = 197,284,587,613.24/204,688.27
  6. Step 6: Final answer
    x = 963,829.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.