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Finding the Third Proportional to 212,181.75 and 283,272.75

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Solution

The third proportional to 212,181.75 and 283,272.75 is: 378,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,181.75 : 283,272.75 = 283,272.75 : x
  2. Step 2: Convert to fraction form
    212,181.75/283,272.75 = 283,272.75/x
  3. Step 3: Cross multiply
    212,181.75x = 283,272.75 × 283,272.75
  4. Step 4: Simplify right side
    212,181.75x = 80,243,450,892.56
  5. Step 5: Solve for x
    x = 80,243,450,892.56/212,181.75
  6. Step 6: Final answer
    x = 378,182.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.