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Finding the Third Proportional to 167,686.50 and 246,183

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Solution

The third proportional to 167,686.50 and 246,183 is: 361,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,686.50 : 246,183 = 246,183 : x
  2. Step 2: Convert to fraction form
    167,686.50/246,183 = 246,183/x
  3. Step 3: Cross multiply
    167,686.50x = 246,183 × 246,183
  4. Step 4: Simplify right side
    167,686.50x = 60,606,069,489
  5. Step 5: Solve for x
    x = 60,606,069,489/167,686.50
  6. Step 6: Final answer
    x = 361,424.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.