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Finding the Third Proportional to 212,544 and 325,512

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Solution

The third proportional to 212,544 and 325,512 is: 498,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,544 : 325,512 = 325,512 : x
  2. Step 2: Convert to fraction form
    212,544/325,512 = 325,512/x
  3. Step 3: Cross multiply
    212,544x = 325,512 × 325,512
  4. Step 4: Simplify right side
    212,544x = 105,958,062,144
  5. Step 5: Solve for x
    x = 105,958,062,144/212,544
  6. Step 6: Final answer
    x = 498,522.95

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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.