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Finding the Third Proportional to 194,322 and 422,832

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Solution

The third proportional to 194,322 and 422,832 is: 920,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,322 : 422,832 = 422,832 : x
  2. Step 2: Convert to fraction form
    194,322/422,832 = 422,832/x
  3. Step 3: Cross multiply
    194,322x = 422,832 × 422,832
  4. Step 4: Simplify right side
    194,322x = 178,786,900,224
  5. Step 5: Solve for x
    x = 178,786,900,224/194,322
  6. Step 6: Final answer
    x = 920,054.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.