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Finding the Third Proportional to 189,754 and 421,524

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Solution

The third proportional to 189,754 and 421,524 is: 936,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754 : 421,524 = 421,524 : x
  2. Step 2: Convert to fraction form
    189,754/421,524 = 421,524/x
  3. Step 3: Cross multiply
    189,754x = 421,524 × 421,524
  4. Step 4: Simplify right side
    189,754x = 177,682,482,576
  5. Step 5: Solve for x
    x = 177,682,482,576/189,754
  6. Step 6: Final answer
    x = 936,383.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.