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Finding the Third Proportional to 159,828 and 334,962

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Solution

The third proportional to 159,828 and 334,962 is: 702,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,828 : 334,962 = 334,962 : x
  2. Step 2: Convert to fraction form
    159,828/334,962 = 334,962/x
  3. Step 3: Cross multiply
    159,828x = 334,962 × 334,962
  4. Step 4: Simplify right side
    159,828x = 112,199,541,444
  5. Step 5: Solve for x
    x = 112,199,541,444/159,828
  6. Step 6: Final answer
    x = 702,001.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.