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Finding the Third Proportional to 189,250 and 412,100

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Solution

The third proportional to 189,250 and 412,100 is: 897,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,250 : 412,100 = 412,100 : x
  2. Step 2: Convert to fraction form
    189,250/412,100 = 412,100/x
  3. Step 3: Cross multiply
    189,250x = 412,100 × 412,100
  4. Step 4: Simplify right side
    189,250x = 169,826,410,000
  5. Step 5: Solve for x
    x = 169,826,410,000/189,250
  6. Step 6: Final answer
    x = 897,365.44

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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.