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Finding the Third Proportional to 150,000 and 210,993

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Solution

The third proportional to 150,000 and 210,993 is: 296,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000 : 210,993 = 210,993 : x
  2. Step 2: Convert to fraction form
    150,000/210,993 = 210,993/x
  3. Step 3: Cross multiply
    150,000x = 210,993 × 210,993
  4. Step 4: Simplify right side
    150,000x = 44,518,046,049
  5. Step 5: Solve for x
    x = 44,518,046,049/150,000
  6. Step 6: Final answer
    x = 296,786.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.