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Finding the Third Proportional to 159,510 and 335,544

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Solution

The third proportional to 159,510 and 335,544 is: 705,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,510 : 335,544 = 335,544 : x
  2. Step 2: Convert to fraction form
    159,510/335,544 = 335,544/x
  3. Step 3: Cross multiply
    159,510x = 335,544 × 335,544
  4. Step 4: Simplify right side
    159,510x = 112,589,775,936
  5. Step 5: Solve for x
    x = 112,589,775,936/159,510
  6. Step 6: Final answer
    x = 705,847.76

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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.