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Finding the Third Proportional to 189,100 and 279,912

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Solution

The third proportional to 189,100 and 279,912 is: 414,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100 : 279,912 = 279,912 : x
  2. Step 2: Convert to fraction form
    189,100/279,912 = 279,912/x
  3. Step 3: Cross multiply
    189,100x = 279,912 × 279,912
  4. Step 4: Simplify right side
    189,100x = 78,350,727,744
  5. Step 5: Solve for x
    x = 78,350,727,744/189,100
  6. Step 6: Final answer
    x = 414,334.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.