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Finding the Third Proportional to 168,469 and 246,114

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Solution

The third proportional to 168,469 and 246,114 is: 359,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,469 : 246,114 = 246,114 : x
  2. Step 2: Convert to fraction form
    168,469/246,114 = 246,114/x
  3. Step 3: Cross multiply
    168,469x = 246,114 × 246,114
  4. Step 4: Simplify right side
    168,469x = 60,572,100,996
  5. Step 5: Solve for x
    x = 60,572,100,996/168,469
  6. Step 6: Final answer
    x = 359,544.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.