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Finding the Third Proportional to 81,974 and 193,433

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Solution

The third proportional to 81,974 and 193,433 is: 456,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,974 : 193,433 = 193,433 : x
  2. Step 2: Convert to fraction form
    81,974/193,433 = 193,433/x
  3. Step 3: Cross multiply
    81,974x = 193,433 × 193,433
  4. Step 4: Simplify right side
    81,974x = 37,416,325,489
  5. Step 5: Solve for x
    x = 37,416,325,489/81,974
  6. Step 6: Final answer
    x = 456,441.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.