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Finding the Third Proportional to 196,246 and 311,257

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Solution

The third proportional to 196,246 and 311,257 is: 493,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,246 : 311,257 = 311,257 : x
  2. Step 2: Convert to fraction form
    196,246/311,257 = 311,257/x
  3. Step 3: Cross multiply
    196,246x = 311,257 × 311,257
  4. Step 4: Simplify right side
    196,246x = 96,880,920,049
  5. Step 5: Solve for x
    x = 96,880,920,049/196,246
  6. Step 6: Final answer
    x = 493,670.80

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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.