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Finding the Third Proportional to 114,978 and 246,756

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Solution

The third proportional to 114,978 and 246,756 is: 529,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978 : 246,756 = 246,756 : x
  2. Step 2: Convert to fraction form
    114,978/246,756 = 246,756/x
  3. Step 3: Cross multiply
    114,978x = 246,756 × 246,756
  4. Step 4: Simplify right side
    114,978x = 60,888,523,536
  5. Step 5: Solve for x
    x = 60,888,523,536/114,978
  6. Step 6: Final answer
    x = 529,566.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.