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Finding the Third Proportional to 273,188 and 368,278

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Solution

The third proportional to 273,188 and 368,278 is: 496,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,188 : 368,278 = 368,278 : x
  2. Step 2: Convert to fraction form
    273,188/368,278 = 368,278/x
  3. Step 3: Cross multiply
    273,188x = 368,278 × 368,278
  4. Step 4: Simplify right side
    273,188x = 135,628,685,284
  5. Step 5: Solve for x
    x = 135,628,685,284/273,188
  6. Step 6: Final answer
    x = 496,466.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.