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Finding the Third Proportional to 178,474.50 and 276,351.75

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Solution

The third proportional to 178,474.50 and 276,351.75 is: 427,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,474.50 : 276,351.75 = 276,351.75 : x
  2. Step 2: Convert to fraction form
    178,474.50/276,351.75 = 276,351.75/x
  3. Step 3: Cross multiply
    178,474.50x = 276,351.75 × 276,351.75
  4. Step 4: Simplify right side
    178,474.50x = 76,370,289,728.06
  5. Step 5: Solve for x
    x = 76,370,289,728.06/178,474.50
  6. Step 6: Final answer
    x = 427,905.89

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