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Finding the Third Proportional to 94,224 and 217,956

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Solution

The third proportional to 94,224 and 217,956 is: 504,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,224 : 217,956 = 217,956 : x
  2. Step 2: Convert to fraction form
    94,224/217,956 = 217,956/x
  3. Step 3: Cross multiply
    94,224x = 217,956 × 217,956
  4. Step 4: Simplify right side
    94,224x = 47,504,817,936
  5. Step 5: Solve for x
    x = 47,504,817,936/94,224
  6. Step 6: Final answer
    x = 504,168.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.