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Finding the Third Proportional to 133,843 and 178,435

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Solution

The third proportional to 133,843 and 178,435 is: 237,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843 : 178,435 = 178,435 : x
  2. Step 2: Convert to fraction form
    133,843/178,435 = 178,435/x
  3. Step 3: Cross multiply
    133,843x = 178,435 × 178,435
  4. Step 4: Simplify right side
    133,843x = 31,839,049,225
  5. Step 5: Solve for x
    x = 31,839,049,225/133,843
  6. Step 6: Final answer
    x = 237,883.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.