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Finding the Third Proportional to 151,870 and 226,573

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Solution

The third proportional to 151,870 and 226,573 is: 338,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,870 : 226,573 = 226,573 : x
  2. Step 2: Convert to fraction form
    151,870/226,573 = 226,573/x
  3. Step 3: Cross multiply
    151,870x = 226,573 × 226,573
  4. Step 4: Simplify right side
    151,870x = 51,335,324,329
  5. Step 5: Solve for x
    x = 51,335,324,329/151,870
  6. Step 6: Final answer
    x = 338,021.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.