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Finding the Third Proportional to 151,796 and 227,667

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Solution

The third proportional to 151,796 and 227,667 is: 341,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,796 : 227,667 = 227,667 : x
  2. Step 2: Convert to fraction form
    151,796/227,667 = 227,667/x
  3. Step 3: Cross multiply
    151,796x = 227,667 × 227,667
  4. Step 4: Simplify right side
    151,796x = 51,832,262,889
  5. Step 5: Solve for x
    x = 51,832,262,889/151,796
  6. Step 6: Final answer
    x = 341,460.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.