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Finding the Third Proportional to 146,886 and 198,183

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Solution

The third proportional to 146,886 and 198,183 is: 267,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,886 : 198,183 = 198,183 : x
  2. Step 2: Convert to fraction form
    146,886/198,183 = 198,183/x
  3. Step 3: Cross multiply
    146,886x = 198,183 × 198,183
  4. Step 4: Simplify right side
    146,886x = 39,276,501,489
  5. Step 5: Solve for x
    x = 39,276,501,489/146,886
  6. Step 6: Final answer
    x = 267,394.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.