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Finding the Third Proportional to 227,736.56 and 324,415.13

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Solution

The third proportional to 227,736.56 and 324,415.13 is: 462,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,736.56 : 324,415.13 = 324,415.13 : x
  2. Step 2: Convert to fraction form
    227,736.56/324,415.13 = 324,415.13/x
  3. Step 3: Cross multiply
    227,736.56x = 324,415.13 × 324,415.13
  4. Step 4: Simplify right side
    227,736.56x = 105,245,173,328.77
  5. Step 5: Solve for x
    x = 105,245,173,328.77/227,736.56
  6. Step 6: Final answer
    x = 462,135.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.