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Finding the Third Proportional to 98,217 and 214,425

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Solution

The third proportional to 98,217 and 214,425 is: 468,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,217 : 214,425 = 214,425 : x
  2. Step 2: Convert to fraction form
    98,217/214,425 = 214,425/x
  3. Step 3: Cross multiply
    98,217x = 214,425 × 214,425
  4. Step 4: Simplify right side
    98,217x = 45,978,080,625
  5. Step 5: Solve for x
    x = 45,978,080,625/98,217
  6. Step 6: Final answer
    x = 468,127.52

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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.