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Finding the Third Proportional to 146,110.50 and 197,997.75

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Solution

The third proportional to 146,110.50 and 197,997.75 is: 268,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,110.50 : 197,997.75 = 197,997.75 : x
  2. Step 2: Convert to fraction form
    146,110.50/197,997.75 = 197,997.75/x
  3. Step 3: Cross multiply
    146,110.50x = 197,997.75 × 197,997.75
  4. Step 4: Simplify right side
    146,110.50x = 39,203,109,005.06
  5. Step 5: Solve for x
    x = 39,203,109,005.06/146,110.50
  6. Step 6: Final answer
    x = 268,311.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.