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Finding the Third Proportional to 214,824 and 331,956

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Solution

The third proportional to 214,824 and 331,956 is: 512,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,824 : 331,956 = 331,956 : x
  2. Step 2: Convert to fraction form
    214,824/331,956 = 331,956/x
  3. Step 3: Cross multiply
    214,824x = 331,956 × 331,956
  4. Step 4: Simplify right side
    214,824x = 110,194,785,936
  5. Step 5: Solve for x
    x = 110,194,785,936/214,824
  6. Step 6: Final answer
    x = 512,953.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.