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Finding the Third Proportional to 98,494 and 214,812

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Solution

The third proportional to 98,494 and 214,812 is: 468,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,494 : 214,812 = 214,812 : x
  2. Step 2: Convert to fraction form
    98,494/214,812 = 214,812/x
  3. Step 3: Cross multiply
    98,494x = 214,812 × 214,812
  4. Step 4: Simplify right side
    98,494x = 46,144,195,344
  5. Step 5: Solve for x
    x = 46,144,195,344/98,494
  6. Step 6: Final answer
    x = 468,497.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.