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Finding the Third Proportional to 212,911 and 333,995

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Solution

The third proportional to 212,911 and 333,995 is: 523,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,911 : 333,995 = 333,995 : x
  2. Step 2: Convert to fraction form
    212,911/333,995 = 333,995/x
  3. Step 3: Cross multiply
    212,911x = 333,995 × 333,995
  4. Step 4: Simplify right side
    212,911x = 111,552,660,025
  5. Step 5: Solve for x
    x = 111,552,660,025/212,911
  6. Step 6: Final answer
    x = 523,940.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.