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Finding the Third Proportional to 196,788 and 311,116

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Solution

The third proportional to 196,788 and 311,116 is: 491,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,788 : 311,116 = 311,116 : x
  2. Step 2: Convert to fraction form
    196,788/311,116 = 311,116/x
  3. Step 3: Cross multiply
    196,788x = 311,116 × 311,116
  4. Step 4: Simplify right side
    196,788x = 96,793,165,456
  5. Step 5: Solve for x
    x = 96,793,165,456/196,788
  6. Step 6: Final answer
    x = 491,865.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.