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Finding the Third Proportional to 196,826 and 313,338

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Solution

The third proportional to 196,826 and 313,338 is: 498,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,826 : 313,338 = 313,338 : x
  2. Step 2: Convert to fraction form
    196,826/313,338 = 313,338/x
  3. Step 3: Cross multiply
    196,826x = 313,338 × 313,338
  4. Step 4: Simplify right side
    196,826x = 98,180,702,244
  5. Step 5: Solve for x
    x = 98,180,702,244/196,826
  6. Step 6: Final answer
    x = 498,819.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.