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Finding the Third Proportional to 166,032 and 259,416

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Solution

The third proportional to 166,032 and 259,416 is: 405,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,032 : 259,416 = 259,416 : x
  2. Step 2: Convert to fraction form
    166,032/259,416 = 259,416/x
  3. Step 3: Cross multiply
    166,032x = 259,416 × 259,416
  4. Step 4: Simplify right side
    166,032x = 67,296,661,056
  5. Step 5: Solve for x
    x = 67,296,661,056/166,032
  6. Step 6: Final answer
    x = 405,323.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.