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Finding the Third Proportional to 194,261 and 422,704

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Solution

The third proportional to 194,261 and 422,704 is: 919,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,261 : 422,704 = 422,704 : x
  2. Step 2: Convert to fraction form
    194,261/422,704 = 422,704/x
  3. Step 3: Cross multiply
    194,261x = 422,704 × 422,704
  4. Step 4: Simplify right side
    194,261x = 178,678,671,616
  5. Step 5: Solve for x
    x = 178,678,671,616/194,261
  6. Step 6: Final answer
    x = 919,786.64

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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.