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Finding the Third Proportional to 194,529 and 291,795

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Solution

The third proportional to 194,529 and 291,795 is: 437,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,529 : 291,795 = 291,795 : x
  2. Step 2: Convert to fraction form
    194,529/291,795 = 291,795/x
  3. Step 3: Cross multiply
    194,529x = 291,795 × 291,795
  4. Step 4: Simplify right side
    194,529x = 85,144,322,025
  5. Step 5: Solve for x
    x = 85,144,322,025/194,529
  6. Step 6: Final answer
    x = 437,694.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.