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Finding the Third Proportional to 175,183 and 384,279

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Solution

The third proportional to 175,183 and 384,279 is: 842,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,183 : 384,279 = 384,279 : x
  2. Step 2: Convert to fraction form
    175,183/384,279 = 384,279/x
  3. Step 3: Cross multiply
    175,183x = 384,279 × 384,279
  4. Step 4: Simplify right side
    175,183x = 147,670,349,841
  5. Step 5: Solve for x
    x = 147,670,349,841/175,183
  6. Step 6: Final answer
    x = 842,949.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.