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Finding the Third Proportional to 159,228 and 226,370

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Solution

The third proportional to 159,228 and 226,370 is: 321,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,228 : 226,370 = 226,370 : x
  2. Step 2: Convert to fraction form
    159,228/226,370 = 226,370/x
  3. Step 3: Cross multiply
    159,228x = 226,370 × 226,370
  4. Step 4: Simplify right side
    159,228x = 51,243,376,900
  5. Step 5: Solve for x
    x = 51,243,376,900/159,228
  6. Step 6: Final answer
    x = 321,823.91

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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.