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Finding the Third Proportional to 194,817 and 419,226

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Solution

The third proportional to 194,817 and 419,226 is: 902,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,817 : 419,226 = 419,226 : x
  2. Step 2: Convert to fraction form
    194,817/419,226 = 419,226/x
  3. Step 3: Cross multiply
    194,817x = 419,226 × 419,226
  4. Step 4: Simplify right side
    194,817x = 175,750,439,076
  5. Step 5: Solve for x
    x = 175,750,439,076/194,817
  6. Step 6: Final answer
    x = 902,130.92

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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.