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Finding the Third Proportional to 194,969 and 422,986

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Solution

The third proportional to 194,969 and 422,986 is: 917,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,969 : 422,986 = 422,986 : x
  2. Step 2: Convert to fraction form
    194,969/422,986 = 422,986/x
  3. Step 3: Cross multiply
    194,969x = 422,986 × 422,986
  4. Step 4: Simplify right side
    194,969x = 178,917,156,196
  5. Step 5: Solve for x
    x = 178,917,156,196/194,969
  6. Step 6: Final answer
    x = 917,669.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.