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Finding the Third Proportional to 214,137 and 461,162

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Solution

The third proportional to 214,137 and 461,162 is: 993,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,137 : 461,162 = 461,162 : x
  2. Step 2: Convert to fraction form
    214,137/461,162 = 461,162/x
  3. Step 3: Cross multiply
    214,137x = 461,162 × 461,162
  4. Step 4: Simplify right side
    214,137x = 212,670,390,244
  5. Step 5: Solve for x
    x = 212,670,390,244/214,137
  6. Step 6: Final answer
    x = 993,151.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.