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Finding the Third Proportional to 227,556 and 327,773.25

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Solution

The third proportional to 227,556 and 327,773.25 is: 472,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,556 : 327,773.25 = 327,773.25 : x
  2. Step 2: Convert to fraction form
    227,556/327,773.25 = 327,773.25/x
  3. Step 3: Cross multiply
    227,556x = 327,773.25 × 327,773.25
  4. Step 4: Simplify right side
    227,556x = 107,435,303,415.56
  5. Step 5: Solve for x
    x = 107,435,303,415.56/227,556
  6. Step 6: Final answer
    x = 472,126.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.