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Finding the Third Proportional to 193,290 and 272,193

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Solution

The third proportional to 193,290 and 272,193 is: 383,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,290 : 272,193 = 272,193 : x
  2. Step 2: Convert to fraction form
    193,290/272,193 = 272,193/x
  3. Step 3: Cross multiply
    193,290x = 272,193 × 272,193
  4. Step 4: Simplify right side
    193,290x = 74,089,029,249
  5. Step 5: Solve for x
    x = 74,089,029,249/193,290
  6. Step 6: Final answer
    x = 383,305.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.