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Finding the Third Proportional to 168,496 and 363,104

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Solution

The third proportional to 168,496 and 363,104 is: 782,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,496 : 363,104 = 363,104 : x
  2. Step 2: Convert to fraction form
    168,496/363,104 = 363,104/x
  3. Step 3: Cross multiply
    168,496x = 363,104 × 363,104
  4. Step 4: Simplify right side
    168,496x = 131,844,514,816
  5. Step 5: Solve for x
    x = 131,844,514,816/168,496
  6. Step 6: Final answer
    x = 782,478.60

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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.