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Finding the Third Proportional to 102,296 and 211,696

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Solution

The third proportional to 102,296 and 211,696 is: 438,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296 : 211,696 = 211,696 : x
  2. Step 2: Convert to fraction form
    102,296/211,696 = 211,696/x
  3. Step 3: Cross multiply
    102,296x = 211,696 × 211,696
  4. Step 4: Simplify right side
    102,296x = 44,815,196,416
  5. Step 5: Solve for x
    x = 44,815,196,416/102,296
  6. Step 6: Final answer
    x = 438,093.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.