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Finding the Third Proportional to 204,692 and 301,184

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Solution

The third proportional to 204,692 and 301,184 is: 443,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,692 : 301,184 = 301,184 : x
  2. Step 2: Convert to fraction form
    204,692/301,184 = 301,184/x
  3. Step 3: Cross multiply
    204,692x = 301,184 × 301,184
  4. Step 4: Simplify right side
    204,692x = 90,711,801,856
  5. Step 5: Solve for x
    x = 90,711,801,856/204,692
  6. Step 6: Final answer
    x = 443,162.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.