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Finding the Third Proportional to 212,873.06 and 320,198.06

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Solution

The third proportional to 212,873.06 and 320,198.06 is: 481,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,873.06 : 320,198.06 = 320,198.06 : x
  2. Step 2: Convert to fraction form
    212,873.06/320,198.06 = 320,198.06/x
  3. Step 3: Cross multiply
    212,873.06x = 320,198.06 × 320,198.06
  4. Step 4: Simplify right side
    212,873.06x = 102,526,799,228.75
  5. Step 5: Solve for x
    x = 102,526,799,228.75/212,873.06
  6. Step 6: Final answer
    x = 481,633.51

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Why These Related Problems?

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