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Finding the Third Proportional to 76,367 and 167,788

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Solution

The third proportional to 76,367 and 167,788 is: 368,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,367 : 167,788 = 167,788 : x
  2. Step 2: Convert to fraction form
    76,367/167,788 = 167,788/x
  3. Step 3: Cross multiply
    76,367x = 167,788 × 167,788
  4. Step 4: Simplify right side
    76,367x = 28,152,812,944
  5. Step 5: Solve for x
    x = 28,152,812,944/76,367
  6. Step 6: Final answer
    x = 368,651.55

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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.