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Finding the Third Proportional to 196,846 and 313,368

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Solution

The third proportional to 196,846 and 313,368 is: 498,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,846 : 313,368 = 313,368 : x
  2. Step 2: Convert to fraction form
    196,846/313,368 = 313,368/x
  3. Step 3: Cross multiply
    196,846x = 313,368 × 313,368
  4. Step 4: Simplify right side
    196,846x = 98,199,503,424
  5. Step 5: Solve for x
    x = 98,199,503,424/196,846
  6. Step 6: Final answer
    x = 498,864.61

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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.