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Finding the Third Proportional to 177,432.75 and 384,396.75

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Solution

The third proportional to 177,432.75 and 384,396.75 is: 832,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,432.75 : 384,396.75 = 384,396.75 : x
  2. Step 2: Convert to fraction form
    177,432.75/384,396.75 = 384,396.75/x
  3. Step 3: Cross multiply
    177,432.75x = 384,396.75 × 384,396.75
  4. Step 4: Simplify right side
    177,432.75x = 147,760,861,410.56
  5. Step 5: Solve for x
    x = 147,760,861,410.56/177,432.75
  6. Step 6: Final answer
    x = 832,771.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.