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Finding the Third Proportional to 178,544.25 and 276,336.56

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Solution

The third proportional to 178,544.25 and 276,336.56 is: 427,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,544.25 : 276,336.56 = 276,336.56 : x
  2. Step 2: Convert to fraction form
    178,544.25/276,336.56 = 276,336.56/x
  3. Step 3: Cross multiply
    178,544.25x = 276,336.56 × 276,336.56
  4. Step 4: Simplify right side
    178,544.25x = 76,361,895,774.32
  5. Step 5: Solve for x
    x = 76,361,895,774.32/178,544.25
  6. Step 6: Final answer
    x = 427,691.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.