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Finding the Third Proportional to 268,296 and 376,010

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Solution

The third proportional to 268,296 and 376,010 is: 526,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,296 : 376,010 = 376,010 : x
  2. Step 2: Convert to fraction form
    268,296/376,010 = 376,010/x
  3. Step 3: Cross multiply
    268,296x = 376,010 × 376,010
  4. Step 4: Simplify right side
    268,296x = 141,383,520,100
  5. Step 5: Solve for x
    x = 141,383,520,100/268,296
  6. Step 6: Final answer
    x = 526,968.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.