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Finding the Third Proportional to 281,344 and 445,184

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Solution

The third proportional to 281,344 and 445,184 is: 704,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,344 : 445,184 = 445,184 : x
  2. Step 2: Convert to fraction form
    281,344/445,184 = 445,184/x
  3. Step 3: Cross multiply
    281,344x = 445,184 × 445,184
  4. Step 4: Simplify right side
    281,344x = 198,188,793,856
  5. Step 5: Solve for x
    x = 198,188,793,856/281,344
  6. Step 6: Final answer
    x = 704,435.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.