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Finding the Third Proportional to 212,199.75 and 325,680.75

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Solution

The third proportional to 212,199.75 and 325,680.75 is: 499,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,199.75 : 325,680.75 = 325,680.75 : x
  2. Step 2: Convert to fraction form
    212,199.75/325,680.75 = 325,680.75/x
  3. Step 3: Cross multiply
    212,199.75x = 325,680.75 × 325,680.75
  4. Step 4: Simplify right side
    212,199.75x = 106,067,950,920.56
  5. Step 5: Solve for x
    x = 106,067,950,920.56/212,199.75
  6. Step 6: Final answer
    x = 499,849.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.