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Finding the Third Proportional to 196,790 and 422,248

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Solution

The third proportional to 196,790 and 422,248 is: 906,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,790 : 422,248 = 422,248 : x
  2. Step 2: Convert to fraction form
    196,790/422,248 = 422,248/x
  3. Step 3: Cross multiply
    196,790x = 422,248 × 422,248
  4. Step 4: Simplify right side
    196,790x = 178,293,373,504
  5. Step 5: Solve for x
    x = 178,293,373,504/196,790
  6. Step 6: Final answer
    x = 906,008.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.