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Finding the Third Proportional to 133,236.75 and 281,442.75

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Solution

The third proportional to 133,236.75 and 281,442.75 is: 594,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,236.75 : 281,442.75 = 281,442.75 : x
  2. Step 2: Convert to fraction form
    133,236.75/281,442.75 = 281,442.75/x
  3. Step 3: Cross multiply
    133,236.75x = 281,442.75 × 281,442.75
  4. Step 4: Simplify right side
    133,236.75x = 79,210,021,527.56
  5. Step 5: Solve for x
    x = 79,210,021,527.56/133,236.75
  6. Step 6: Final answer
    x = 594,505.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.