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Finding the Third Proportional to 76,379.50 and 167,805

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Solution

The third proportional to 76,379.50 and 167,805 is: 368,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,379.50 : 167,805 = 167,805 : x
  2. Step 2: Convert to fraction form
    76,379.50/167,805 = 167,805/x
  3. Step 3: Cross multiply
    76,379.50x = 167,805 × 167,805
  4. Step 4: Simplify right side
    76,379.50x = 28,158,518,025
  5. Step 5: Solve for x
    x = 28,158,518,025/76,379.50
  6. Step 6: Final answer
    x = 368,665.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.