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Finding the Third Proportional to 194,885 and 427,009

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Solution

The third proportional to 194,885 and 427,009 is: 935,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,885 : 427,009 = 427,009 : x
  2. Step 2: Convert to fraction form
    194,885/427,009 = 427,009/x
  3. Step 3: Cross multiply
    194,885x = 427,009 × 427,009
  4. Step 4: Simplify right side
    194,885x = 182,336,686,081
  5. Step 5: Solve for x
    x = 182,336,686,081/194,885
  6. Step 6: Final answer
    x = 935,611.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.