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Finding the Third Proportional to 194,809 and 419,710

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Solution

The third proportional to 194,809 and 419,710 is: 904,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,809 : 419,710 = 419,710 : x
  2. Step 2: Convert to fraction form
    194,809/419,710 = 419,710/x
  3. Step 3: Cross multiply
    194,809x = 419,710 × 419,710
  4. Step 4: Simplify right side
    194,809x = 176,156,484,100
  5. Step 5: Solve for x
    x = 176,156,484,100/194,809
  6. Step 6: Final answer
    x = 904,252.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.