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Finding the Third Proportional to 151,999 and 227,147

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Solution

The third proportional to 151,999 and 227,147 is: 339,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,999 : 227,147 = 227,147 : x
  2. Step 2: Convert to fraction form
    151,999/227,147 = 227,147/x
  3. Step 3: Cross multiply
    151,999x = 227,147 × 227,147
  4. Step 4: Simplify right side
    151,999x = 51,595,759,609
  5. Step 5: Solve for x
    x = 51,595,759,609/151,999
  6. Step 6: Final answer
    x = 339,448.02

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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.