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Finding the Third Proportional to 166,416 and 363,936

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Solution

The third proportional to 166,416 and 363,936 is: 795,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,416 : 363,936 = 363,936 : x
  2. Step 2: Convert to fraction form
    166,416/363,936 = 363,936/x
  3. Step 3: Cross multiply
    166,416x = 363,936 × 363,936
  4. Step 4: Simplify right side
    166,416x = 132,449,412,096
  5. Step 5: Solve for x
    x = 132,449,412,096/166,416
  6. Step 6: Final answer
    x = 795,893.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.