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Finding the Third Proportional to 194,912 and 291,571

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Solution

The third proportional to 194,912 and 291,571 is: 436,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,912 : 291,571 = 291,571 : x
  2. Step 2: Convert to fraction form
    194,912/291,571 = 291,571/x
  3. Step 3: Cross multiply
    194,912x = 291,571 × 291,571
  4. Step 4: Simplify right side
    194,912x = 85,013,648,041
  5. Step 5: Solve for x
    x = 85,013,648,041/194,912
  6. Step 6: Final answer
    x = 436,164.26

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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.