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Finding the Third Proportional to 180,176.25 and 276,372.75

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Solution

The third proportional to 180,176.25 and 276,372.75 is: 423,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,176.25 : 276,372.75 = 276,372.75 : x
  2. Step 2: Convert to fraction form
    180,176.25/276,372.75 = 276,372.75/x
  3. Step 3: Cross multiply
    180,176.25x = 276,372.75 × 276,372.75
  4. Step 4: Simplify right side
    180,176.25x = 76,381,896,942.56
  5. Step 5: Solve for x
    x = 76,381,896,942.56/180,176.25
  6. Step 6: Final answer
    x = 423,928.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.