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Finding the Third Proportional to 146,936 and 218,244

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Solution

The third proportional to 146,936 and 218,244 is: 324,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,936 : 218,244 = 218,244 : x
  2. Step 2: Convert to fraction form
    146,936/218,244 = 218,244/x
  3. Step 3: Cross multiply
    146,936x = 218,244 × 218,244
  4. Step 4: Simplify right side
    146,936x = 47,630,443,536
  5. Step 5: Solve for x
    x = 47,630,443,536/146,936
  6. Step 6: Final answer
    x = 324,157.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.