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Finding the Third Proportional to 195,249.50 and 426,301

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Solution

The third proportional to 195,249.50 and 426,301 is: 930,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,249.50 : 426,301 = 426,301 : x
  2. Step 2: Convert to fraction form
    195,249.50/426,301 = 426,301/x
  3. Step 3: Cross multiply
    195,249.50x = 426,301 × 426,301
  4. Step 4: Simplify right side
    195,249.50x = 181,732,542,601
  5. Step 5: Solve for x
    x = 181,732,542,601/195,249.50
  6. Step 6: Final answer
    x = 930,770.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.