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Finding the Third Proportional to 189,249 and 412,098

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Solution

The third proportional to 189,249 and 412,098 is: 897,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,249 : 412,098 = 412,098 : x
  2. Step 2: Convert to fraction form
    189,249/412,098 = 412,098/x
  3. Step 3: Cross multiply
    189,249x = 412,098 × 412,098
  4. Step 4: Simplify right side
    189,249x = 169,824,761,604
  5. Step 5: Solve for x
    x = 169,824,761,604/189,249
  6. Step 6: Final answer
    x = 897,361.47

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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.