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Finding the Third Proportional to 178,474.75 and 276,352.13

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Solution

The third proportional to 178,474.75 and 276,352.13 is: 427,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,474.75 : 276,352.13 = 276,352.13 : x
  2. Step 2: Convert to fraction form
    178,474.75/276,352.13 = 276,352.13/x
  3. Step 3: Cross multiply
    178,474.75x = 276,352.13 × 276,352.13
  4. Step 4: Simplify right side
    178,474.75x = 76,370,496,992.02
  5. Step 5: Solve for x
    x = 76,370,496,992.02/178,474.75
  6. Step 6: Final answer
    x = 427,906.45

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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.