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Finding the Third Proportional to 194,529 and 291,793

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Solution

The third proportional to 194,529 and 291,793 is: 437,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,529 : 291,793 = 291,793 : x
  2. Step 2: Convert to fraction form
    194,529/291,793 = 291,793/x
  3. Step 3: Cross multiply
    194,529x = 291,793 × 291,793
  4. Step 4: Simplify right side
    194,529x = 85,143,154,849
  5. Step 5: Solve for x
    x = 85,143,154,849/194,529
  6. Step 6: Final answer
    x = 437,688.75

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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.