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Finding the Third Proportional to 146,406.75 and 198,873

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Solution

The third proportional to 146,406.75 and 198,873 is: 270,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,406.75 : 198,873 = 198,873 : x
  2. Step 2: Convert to fraction form
    146,406.75/198,873 = 198,873/x
  3. Step 3: Cross multiply
    146,406.75x = 198,873 × 198,873
  4. Step 4: Simplify right side
    146,406.75x = 39,550,470,129
  5. Step 5: Solve for x
    x = 39,550,470,129/146,406.75
  6. Step 6: Final answer
    x = 270,141.03

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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.