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Finding the Third Proportional to 168,615 and 352,818

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Solution

The third proportional to 168,615 and 352,818 is: 738,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,615 : 352,818 = 352,818 : x
  2. Step 2: Convert to fraction form
    168,615/352,818 = 352,818/x
  3. Step 3: Cross multiply
    168,615x = 352,818 × 352,818
  4. Step 4: Simplify right side
    168,615x = 124,480,541,124
  5. Step 5: Solve for x
    x = 124,480,541,124/168,615
  6. Step 6: Final answer
    x = 738,253.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.