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Finding the Third Proportional to 178,424.25 and 276,600.75

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Solution

The third proportional to 178,424.25 and 276,600.75 is: 428,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,424.25 : 276,600.75 = 276,600.75 : x
  2. Step 2: Convert to fraction form
    178,424.25/276,600.75 = 276,600.75/x
  3. Step 3: Cross multiply
    178,424.25x = 276,600.75 × 276,600.75
  4. Step 4: Simplify right side
    178,424.25x = 76,507,974,900.56
  5. Step 5: Solve for x
    x = 76,507,974,900.56/178,424.25
  6. Step 6: Final answer
    x = 428,798.07

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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.