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Finding the Third Proportional to 195,244 and 259,696

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Solution

The third proportional to 195,244 and 259,696 is: 345,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,244 : 259,696 = 259,696 : x
  2. Step 2: Convert to fraction form
    195,244/259,696 = 259,696/x
  3. Step 3: Cross multiply
    195,244x = 259,696 × 259,696
  4. Step 4: Simplify right side
    195,244x = 67,442,012,416
  5. Step 5: Solve for x
    x = 67,442,012,416/195,244
  6. Step 6: Final answer
    x = 345,424.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.