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Finding the Third Proportional to 214,911 and 276,621

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Solution

The third proportional to 214,911 and 276,621 is: 356,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,911 : 276,621 = 276,621 : x
  2. Step 2: Convert to fraction form
    214,911/276,621 = 276,621/x
  3. Step 3: Cross multiply
    214,911x = 276,621 × 276,621
  4. Step 4: Simplify right side
    214,911x = 76,519,177,641
  5. Step 5: Solve for x
    x = 76,519,177,641/214,911
  6. Step 6: Final answer
    x = 356,050.54

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.