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Finding the Third Proportional to 177,369.75 and 384,243.75

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Solution

The third proportional to 177,369.75 and 384,243.75 is: 832,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,369.75 : 384,243.75 = 384,243.75 : x
  2. Step 2: Convert to fraction form
    177,369.75/384,243.75 = 384,243.75/x
  3. Step 3: Cross multiply
    177,369.75x = 384,243.75 × 384,243.75
  4. Step 4: Simplify right side
    177,369.75x = 147,643,259,414.06
  5. Step 5: Solve for x
    x = 147,643,259,414.06/177,369.75
  6. Step 6: Final answer
    x = 832,403.83

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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.