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Finding the Third Proportional to 156,142 and 335,965

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Solution

The third proportional to 156,142 and 335,965 is: 722,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,142 : 335,965 = 335,965 : x
  2. Step 2: Convert to fraction form
    156,142/335,965 = 335,965/x
  3. Step 3: Cross multiply
    156,142x = 335,965 × 335,965
  4. Step 4: Simplify right side
    156,142x = 112,872,481,225
  5. Step 5: Solve for x
    x = 112,872,481,225/156,142
  6. Step 6: Final answer
    x = 722,883.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.