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Finding the Third Proportional to 178,170.75 and 384,189.75

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Solution

The third proportional to 178,170.75 and 384,189.75 is: 828,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,170.75 : 384,189.75 = 384,189.75 : x
  2. Step 2: Convert to fraction form
    178,170.75/384,189.75 = 384,189.75/x
  3. Step 3: Cross multiply
    178,170.75x = 384,189.75 × 384,189.75
  4. Step 4: Simplify right side
    178,170.75x = 147,601,764,005.06
  5. Step 5: Solve for x
    x = 147,601,764,005.06/178,170.75
  6. Step 6: Final answer
    x = 828,428.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.