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Finding the Third Proportional to 151,857 and 226,554

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Solution

The third proportional to 151,857 and 226,554 is: 337,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,857 : 226,554 = 226,554 : x
  2. Step 2: Convert to fraction form
    151,857/226,554 = 226,554/x
  3. Step 3: Cross multiply
    151,857x = 226,554 × 226,554
  4. Step 4: Simplify right side
    151,857x = 51,326,714,916
  5. Step 5: Solve for x
    x = 51,326,714,916/151,857
  6. Step 6: Final answer
    x = 337,993.74

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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.