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Finding the Third Proportional to 196,264 and 311,282

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Solution

The third proportional to 196,264 and 311,282 is: 493,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,264 : 311,282 = 311,282 : x
  2. Step 2: Convert to fraction form
    196,264/311,282 = 311,282/x
  3. Step 3: Cross multiply
    196,264x = 311,282 × 311,282
  4. Step 4: Simplify right side
    196,264x = 96,896,483,524
  5. Step 5: Solve for x
    x = 96,896,483,524/196,264
  6. Step 6: Final answer
    x = 493,704.82

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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.