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Finding the Third Proportional to 190,037 and 412,930

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Solution

The third proportional to 190,037 and 412,930 is: 897,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,037 : 412,930 = 412,930 : x
  2. Step 2: Convert to fraction form
    190,037/412,930 = 412,930/x
  3. Step 3: Cross multiply
    190,037x = 412,930 × 412,930
  4. Step 4: Simplify right side
    190,037x = 170,511,184,900
  5. Step 5: Solve for x
    x = 170,511,184,900/190,037
  6. Step 6: Final answer
    x = 897,252.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.