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Finding the Third Proportional to 178,166.25 and 384,180.75

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Solution

The third proportional to 178,166.25 and 384,180.75 is: 828,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,166.25 : 384,180.75 = 384,180.75 : x
  2. Step 2: Convert to fraction form
    178,166.25/384,180.75 = 384,180.75/x
  3. Step 3: Cross multiply
    178,166.25x = 384,180.75 × 384,180.75
  4. Step 4: Simplify right side
    178,166.25x = 147,594,848,670.56
  5. Step 5: Solve for x
    x = 147,594,848,670.56/178,166.25
  6. Step 6: Final answer
    x = 828,410.82

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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.