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Finding the Third Proportional to 194,558 and 262,965

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Solution

The third proportional to 194,558 and 262,965 is: 355,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,558 : 262,965 = 262,965 : x
  2. Step 2: Convert to fraction form
    194,558/262,965 = 262,965/x
  3. Step 3: Cross multiply
    194,558x = 262,965 × 262,965
  4. Step 4: Simplify right side
    194,558x = 69,150,591,225
  5. Step 5: Solve for x
    x = 69,150,591,225/194,558
  6. Step 6: Final answer
    x = 355,424.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.