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Finding the Third Proportional to 194,251 and 300,003

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Solution

The third proportional to 194,251 and 300,003 is: 463,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,251 : 300,003 = 300,003 : x
  2. Step 2: Convert to fraction form
    194,251/300,003 = 300,003/x
  3. Step 3: Cross multiply
    194,251x = 300,003 × 300,003
  4. Step 4: Simplify right side
    194,251x = 90,001,800,009
  5. Step 5: Solve for x
    x = 90,001,800,009/194,251
  6. Step 6: Final answer
    x = 463,327.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.