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Finding the Third Proportional to 168,462 and 363,166

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Solution

The third proportional to 168,462 and 363,166 is: 782,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,462 : 363,166 = 363,166 : x
  2. Step 2: Convert to fraction form
    168,462/363,166 = 363,166/x
  3. Step 3: Cross multiply
    168,462x = 363,166 × 363,166
  4. Step 4: Simplify right side
    168,462x = 131,889,543,556
  5. Step 5: Solve for x
    x = 131,889,543,556/168,462
  6. Step 6: Final answer
    x = 782,903.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.