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Finding the Third Proportional to 203,176 and 467,278

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Solution

The third proportional to 203,176 and 467,278 is: 1,074,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,176 : 467,278 = 467,278 : x
  2. Step 2: Convert to fraction form
    203,176/467,278 = 467,278/x
  3. Step 3: Cross multiply
    203,176x = 467,278 × 467,278
  4. Step 4: Simplify right side
    203,176x = 218,348,729,284
  5. Step 5: Solve for x
    x = 218,348,729,284/203,176
  6. Step 6: Final answer
    x = 1,074,677.76

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.