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Finding the Third Proportional to 164,124 and 267,975

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Solution

The third proportional to 164,124 and 267,975 is: 437,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,124 : 267,975 = 267,975 : x
  2. Step 2: Convert to fraction form
    164,124/267,975 = 267,975/x
  3. Step 3: Cross multiply
    164,124x = 267,975 × 267,975
  4. Step 4: Simplify right side
    164,124x = 71,810,600,625
  5. Step 5: Solve for x
    x = 71,810,600,625/164,124
  6. Step 6: Final answer
    x = 437,538.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.