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Finding the Third Proportional to 159,226 and 226,367

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Solution

The third proportional to 159,226 and 226,367 is: 321,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,226 : 226,367 = 226,367 : x
  2. Step 2: Convert to fraction form
    159,226/226,367 = 226,367/x
  3. Step 3: Cross multiply
    159,226x = 226,367 × 226,367
  4. Step 4: Simplify right side
    159,226x = 51,242,018,689
  5. Step 5: Solve for x
    x = 51,242,018,689/159,226
  6. Step 6: Final answer
    x = 321,819.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.