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Finding the Third Proportional to 179,504 and 364,893

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Solution

The third proportional to 179,504 and 364,893 is: 741,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,504 : 364,893 = 364,893 : x
  2. Step 2: Convert to fraction form
    179,504/364,893 = 364,893/x
  3. Step 3: Cross multiply
    179,504x = 364,893 × 364,893
  4. Step 4: Simplify right side
    179,504x = 133,146,901,449
  5. Step 5: Solve for x
    x = 133,146,901,449/179,504
  6. Step 6: Final answer
    x = 741,748.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.