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Finding the Third Proportional to 168,609 and 352,797

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Solution

The third proportional to 168,609 and 352,797 is: 738,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,609 : 352,797 = 352,797 : x
  2. Step 2: Convert to fraction form
    168,609/352,797 = 352,797/x
  3. Step 3: Cross multiply
    168,609x = 352,797 × 352,797
  4. Step 4: Simplify right side
    168,609x = 124,465,723,209
  5. Step 5: Solve for x
    x = 124,465,723,209/168,609
  6. Step 6: Final answer
    x = 738,191.46

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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.