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Finding the Third Proportional to 196,900 and 420,788

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Solution

The third proportional to 196,900 and 420,788 is: 899,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,900 : 420,788 = 420,788 : x
  2. Step 2: Convert to fraction form
    196,900/420,788 = 420,788/x
  3. Step 3: Cross multiply
    196,900x = 420,788 × 420,788
  4. Step 4: Simplify right side
    196,900x = 177,062,540,944
  5. Step 5: Solve for x
    x = 177,062,540,944/196,900
  6. Step 6: Final answer
    x = 899,251.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.