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Finding the Third Proportional to 151,857 and 226,530

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Solution

The third proportional to 151,857 and 226,530 is: 337,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,857 : 226,530 = 226,530 : x
  2. Step 2: Convert to fraction form
    151,857/226,530 = 226,530/x
  3. Step 3: Cross multiply
    151,857x = 226,530 × 226,530
  4. Step 4: Simplify right side
    151,857x = 51,315,840,900
  5. Step 5: Solve for x
    x = 51,315,840,900/151,857
  6. Step 6: Final answer
    x = 337,922.13

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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.