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Finding the Third Proportional to 133,337 and 194,740

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Solution

The third proportional to 133,337 and 194,740 is: 284,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,337 : 194,740 = 194,740 : x
  2. Step 2: Convert to fraction form
    133,337/194,740 = 194,740/x
  3. Step 3: Cross multiply
    133,337x = 194,740 × 194,740
  4. Step 4: Simplify right side
    133,337x = 37,923,667,600
  5. Step 5: Solve for x
    x = 37,923,667,600/133,337
  6. Step 6: Final answer
    x = 284,419.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.