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Finding the Third Proportional to 195,069 and 419,235

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Solution

The third proportional to 195,069 and 419,235 is: 901,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,069 : 419,235 = 419,235 : x
  2. Step 2: Convert to fraction form
    195,069/419,235 = 419,235/x
  3. Step 3: Cross multiply
    195,069x = 419,235 × 419,235
  4. Step 4: Simplify right side
    195,069x = 175,757,985,225
  5. Step 5: Solve for x
    x = 175,757,985,225/195,069
  6. Step 6: Final answer
    x = 901,004.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.