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Finding the Third Proportional to 158,978 and 336,910

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Solution

The third proportional to 158,978 and 336,910 is: 713,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,978 : 336,910 = 336,910 : x
  2. Step 2: Convert to fraction form
    158,978/336,910 = 336,910/x
  3. Step 3: Cross multiply
    158,978x = 336,910 × 336,910
  4. Step 4: Simplify right side
    158,978x = 113,508,348,100
  5. Step 5: Solve for x
    x = 113,508,348,100/158,978
  6. Step 6: Final answer
    x = 713,987.77

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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.