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Finding the Third Proportional to 192,965 and 298,199

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Solution

The third proportional to 192,965 and 298,199 is: 460,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,965 : 298,199 = 298,199 : x
  2. Step 2: Convert to fraction form
    192,965/298,199 = 298,199/x
  3. Step 3: Cross multiply
    192,965x = 298,199 × 298,199
  4. Step 4: Simplify right side
    192,965x = 88,922,643,601
  5. Step 5: Solve for x
    x = 88,922,643,601/192,965
  6. Step 6: Final answer
    x = 460,822.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.