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Finding the Third Proportional to 196,789 and 422,246

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Solution

The third proportional to 196,789 and 422,246 is: 906,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,789 : 422,246 = 422,246 : x
  2. Step 2: Convert to fraction form
    196,789/422,246 = 422,246/x
  3. Step 3: Cross multiply
    196,789x = 422,246 × 422,246
  4. Step 4: Simplify right side
    196,789x = 178,291,684,516
  5. Step 5: Solve for x
    x = 178,291,684,516/196,789
  6. Step 6: Final answer
    x = 906,004.32

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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.