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Finding the Third Proportional to 149,788 and 327,736

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Solution

The third proportional to 149,788 and 327,736 is: 717,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,788 : 327,736 = 327,736 : x
  2. Step 2: Convert to fraction form
    149,788/327,736 = 327,736/x
  3. Step 3: Cross multiply
    149,788x = 327,736 × 327,736
  4. Step 4: Simplify right side
    149,788x = 107,410,885,696
  5. Step 5: Solve for x
    x = 107,410,885,696/149,788
  6. Step 6: Final answer
    x = 717,086.05

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