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Finding the Third Proportional to 193,923 and 300,101

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Solution

The third proportional to 193,923 and 300,101 is: 464,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,923 : 300,101 = 300,101 : x
  2. Step 2: Convert to fraction form
    193,923/300,101 = 300,101/x
  3. Step 3: Cross multiply
    193,923x = 300,101 × 300,101
  4. Step 4: Simplify right side
    193,923x = 90,060,610,201
  5. Step 5: Solve for x
    x = 90,060,610,201/193,923
  6. Step 6: Final answer
    x = 464,414.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.