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Finding the Third Proportional to 214,100 and 461,086

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Solution

The third proportional to 214,100 and 461,086 is: 992,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,100 : 461,086 = 461,086 : x
  2. Step 2: Convert to fraction form
    214,100/461,086 = 461,086/x
  3. Step 3: Cross multiply
    214,100x = 461,086 × 461,086
  4. Step 4: Simplify right side
    214,100x = 212,600,299,396
  5. Step 5: Solve for x
    x = 212,600,299,396/214,100
  6. Step 6: Final answer
    x = 992,995.33

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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.