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Finding the Third Proportional to 273,846 and 400,173

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Solution

The third proportional to 273,846 and 400,173 is: 584,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,846 : 400,173 = 400,173 : x
  2. Step 2: Convert to fraction form
    273,846/400,173 = 400,173/x
  3. Step 3: Cross multiply
    273,846x = 400,173 × 400,173
  4. Step 4: Simplify right side
    273,846x = 160,138,429,929
  5. Step 5: Solve for x
    x = 160,138,429,929/273,846
  6. Step 6: Final answer
    x = 584,775.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.