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Finding the Third Proportional to 158,976 and 336,906

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Solution

The third proportional to 158,976 and 336,906 is: 713,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,976 : 336,906 = 336,906 : x
  2. Step 2: Convert to fraction form
    158,976/336,906 = 336,906/x
  3. Step 3: Cross multiply
    158,976x = 336,906 × 336,906
  4. Step 4: Simplify right side
    158,976x = 113,505,652,836
  5. Step 5: Solve for x
    x = 113,505,652,836/158,976
  6. Step 6: Final answer
    x = 713,979.80

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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.