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Finding the Third Proportional to 212,856.75 and 320,181.75

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Solution

The third proportional to 212,856.75 and 320,181.75 is: 481,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,856.75 : 320,181.75 = 320,181.75 : x
  2. Step 2: Convert to fraction form
    212,856.75/320,181.75 = 320,181.75/x
  3. Step 3: Cross multiply
    212,856.75x = 320,181.75 × 320,181.75
  4. Step 4: Simplify right side
    212,856.75x = 102,516,353,033.06
  5. Step 5: Solve for x
    x = 102,516,353,033.06/212,856.75
  6. Step 6: Final answer
    x = 481,621.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.