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Finding the Third Proportional to 194,906 and 419,890

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Solution

The third proportional to 194,906 and 419,890 is: 904,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906 : 419,890 = 419,890 : x
  2. Step 2: Convert to fraction form
    194,906/419,890 = 419,890/x
  3. Step 3: Cross multiply
    194,906x = 419,890 × 419,890
  4. Step 4: Simplify right side
    194,906x = 176,307,612,100
  5. Step 5: Solve for x
    x = 176,307,612,100/194,906
  6. Step 6: Final answer
    x = 904,577.65

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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.