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Finding the Third Proportional to 226,856 and 317,895

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Solution

The third proportional to 226,856 and 317,895 is: 445,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,856 : 317,895 = 317,895 : x
  2. Step 2: Convert to fraction form
    226,856/317,895 = 317,895/x
  3. Step 3: Cross multiply
    226,856x = 317,895 × 317,895
  4. Step 4: Simplify right side
    226,856x = 101,057,231,025
  5. Step 5: Solve for x
    x = 101,057,231,025/226,856
  6. Step 6: Final answer
    x = 445,468.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.