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Finding the Third Proportional to 168,802 and 353,196

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Solution

The third proportional to 168,802 and 353,196 is: 739,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,802 : 353,196 = 353,196 : x
  2. Step 2: Convert to fraction form
    168,802/353,196 = 353,196/x
  3. Step 3: Cross multiply
    168,802x = 353,196 × 353,196
  4. Step 4: Simplify right side
    168,802x = 124,747,414,416
  5. Step 5: Solve for x
    x = 124,747,414,416/168,802
  6. Step 6: Final answer
    x = 739,016.21

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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.