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Finding the Third Proportional to 208,032 and 405,696

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Solution

The third proportional to 208,032 and 405,696 is: 791,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032 : 405,696 = 405,696 : x
  2. Step 2: Convert to fraction form
    208,032/405,696 = 405,696/x
  3. Step 3: Cross multiply
    208,032x = 405,696 × 405,696
  4. Step 4: Simplify right side
    208,032x = 164,589,244,416
  5. Step 5: Solve for x
    x = 164,589,244,416/208,032
  6. Step 6: Final answer
    x = 791,172.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.