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Finding the Third Proportional to 97,251 and 214,914

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Solution

The third proportional to 97,251 and 214,914 is: 474,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,251 : 214,914 = 214,914 : x
  2. Step 2: Convert to fraction form
    97,251/214,914 = 214,914/x
  3. Step 3: Cross multiply
    97,251x = 214,914 × 214,914
  4. Step 4: Simplify right side
    97,251x = 46,188,027,396
  5. Step 5: Solve for x
    x = 46,188,027,396/97,251
  6. Step 6: Final answer
    x = 474,936.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.