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Finding the Third Proportional to 194,813 and 419,718

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Solution

The third proportional to 194,813 and 419,718 is: 904,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,813 : 419,718 = 419,718 : x
  2. Step 2: Convert to fraction form
    194,813/419,718 = 419,718/x
  3. Step 3: Cross multiply
    194,813x = 419,718 × 419,718
  4. Step 4: Simplify right side
    194,813x = 176,163,199,524
  5. Step 5: Solve for x
    x = 176,163,199,524/194,813
  6. Step 6: Final answer
    x = 904,268.19

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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.