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Finding the Third Proportional to 152,716 and 335,544

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Solution

The third proportional to 152,716 and 335,544 is: 737,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,716 : 335,544 = 335,544 : x
  2. Step 2: Convert to fraction form
    152,716/335,544 = 335,544/x
  3. Step 3: Cross multiply
    152,716x = 335,544 × 335,544
  4. Step 4: Simplify right side
    152,716x = 112,589,775,936
  5. Step 5: Solve for x
    x = 112,589,775,936/152,716
  6. Step 6: Final answer
    x = 737,249.38

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Why These Related Problems?

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