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Finding the Third Proportional to 145,966 and 219,993

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Solution

The third proportional to 145,966 and 219,993 is: 331,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,966 : 219,993 = 219,993 : x
  2. Step 2: Convert to fraction form
    145,966/219,993 = 219,993/x
  3. Step 3: Cross multiply
    145,966x = 219,993 × 219,993
  4. Step 4: Simplify right side
    145,966x = 48,396,920,049
  5. Step 5: Solve for x
    x = 48,396,920,049/145,966
  6. Step 6: Final answer
    x = 331,562.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.