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Finding the Third Proportional to 159,488 and 335,500

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Solution

The third proportional to 159,488 and 335,500 is: 705,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,488 : 335,500 = 335,500 : x
  2. Step 2: Convert to fraction form
    159,488/335,500 = 335,500/x
  3. Step 3: Cross multiply
    159,488x = 335,500 × 335,500
  4. Step 4: Simplify right side
    159,488x = 112,560,250,000
  5. Step 5: Solve for x
    x = 112,560,250,000/159,488
  6. Step 6: Final answer
    x = 705,759.99

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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.