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Finding the Third Proportional to 168,558 and 362,131

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Solution

The third proportional to 168,558 and 362,131 is: 778,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,558 : 362,131 = 362,131 : x
  2. Step 2: Convert to fraction form
    168,558/362,131 = 362,131/x
  3. Step 3: Cross multiply
    168,558x = 362,131 × 362,131
  4. Step 4: Simplify right side
    168,558x = 131,138,861,161
  5. Step 5: Solve for x
    x = 131,138,861,161/168,558
  6. Step 6: Final answer
    x = 778,004.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.