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Finding the Third Proportional to 158,991 and 336,936

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Solution

The third proportional to 158,991 and 336,936 is: 714,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,991 : 336,936 = 336,936 : x
  2. Step 2: Convert to fraction form
    158,991/336,936 = 336,936/x
  3. Step 3: Cross multiply
    158,991x = 336,936 × 336,936
  4. Step 4: Simplify right side
    158,991x = 113,525,868,096
  5. Step 5: Solve for x
    x = 113,525,868,096/158,991
  6. Step 6: Final answer
    x = 714,039.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.