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Finding the Third Proportional to 227,733.19 and 324,410.06

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Solution

The third proportional to 227,733.19 and 324,410.06 is: 462,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,733.19 : 324,410.06 = 324,410.06 : x
  2. Step 2: Convert to fraction form
    227,733.19/324,410.06 = 324,410.06/x
  3. Step 3: Cross multiply
    227,733.19x = 324,410.06 × 324,410.06
  4. Step 4: Simplify right side
    227,733.19x = 105,241,888,651.25
  5. Step 5: Solve for x
    x = 105,241,888,651.25/227,733.19
  6. Step 6: Final answer
    x = 462,128.03

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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.