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Finding the Third Proportional to 159,234 and 226,341

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Solution

The third proportional to 159,234 and 226,341 is: 321,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,234 : 226,341 = 226,341 : x
  2. Step 2: Convert to fraction form
    159,234/226,341 = 226,341/x
  3. Step 3: Cross multiply
    159,234x = 226,341 × 226,341
  4. Step 4: Simplify right side
    159,234x = 51,230,248,281
  5. Step 5: Solve for x
    x = 51,230,248,281/159,234
  6. Step 6: Final answer
    x = 321,729.33

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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.