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Finding the Third Proportional to 263,183 and 376,361

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Solution

The third proportional to 263,183 and 376,361 is: 538,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,183 : 376,361 = 376,361 : x
  2. Step 2: Convert to fraction form
    263,183/376,361 = 376,361/x
  3. Step 3: Cross multiply
    263,183x = 376,361 × 376,361
  4. Step 4: Simplify right side
    263,183x = 141,647,602,321
  5. Step 5: Solve for x
    x = 141,647,602,321/263,183
  6. Step 6: Final answer
    x = 538,209.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.