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Finding the Third Proportional to 238,096.13 and 324,240.19

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Solution

The third proportional to 238,096.13 and 324,240.19 is: 441,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,096.13 : 324,240.19 = 324,240.19 : x
  2. Step 2: Convert to fraction form
    238,096.13/324,240.19 = 324,240.19/x
  3. Step 3: Cross multiply
    238,096.13x = 324,240.19 × 324,240.19
  4. Step 4: Simplify right side
    238,096.13x = 105,131,699,190.04
  5. Step 5: Solve for x
    x = 105,131,699,190.04/238,096.13
  6. Step 6: Final answer
    x = 441,551.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.