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Finding the Third Proportional to 161,131.78 and 246,846.23

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Solution

The third proportional to 161,131.78 and 246,846.23 is: 378,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,131.78 : 246,846.23 = 246,846.23 : x
  2. Step 2: Convert to fraction form
    161,131.78/246,846.23 = 246,846.23/x
  3. Step 3: Cross multiply
    161,131.78x = 246,846.23 × 246,846.23
  4. Step 4: Simplify right side
    161,131.78x = 60,933,063,425.12
  5. Step 5: Solve for x
    x = 60,933,063,425.12/161,131.78
  6. Step 6: Final answer
    x = 378,156.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.