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Finding the Third Proportional to 151,996.50 and 227,144.25

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Solution

The third proportional to 151,996.50 and 227,144.25 is: 339,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,996.50 : 227,144.25 = 227,144.25 : x
  2. Step 2: Convert to fraction form
    151,996.50/227,144.25 = 227,144.25/x
  3. Step 3: Cross multiply
    151,996.50x = 227,144.25 × 227,144.25
  4. Step 4: Simplify right side
    151,996.50x = 51,594,510,308.06
  5. Step 5: Solve for x
    x = 51,594,510,308.06/151,996.50
  6. Step 6: Final answer
    x = 339,445.38

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