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Finding the Third Proportional to 152,821 and 335,895

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Solution

The third proportional to 152,821 and 335,895 is: 738,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,821 : 335,895 = 335,895 : x
  2. Step 2: Convert to fraction form
    152,821/335,895 = 335,895/x
  3. Step 3: Cross multiply
    152,821x = 335,895 × 335,895
  4. Step 4: Simplify right side
    152,821x = 112,825,451,025
  5. Step 5: Solve for x
    x = 112,825,451,025/152,821
  6. Step 6: Final answer
    x = 738,284.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.