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Finding the Third Proportional to 174,635 and 267,026

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Solution

The third proportional to 174,635 and 267,026 is: 408,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,635 : 267,026 = 267,026 : x
  2. Step 2: Convert to fraction form
    174,635/267,026 = 267,026/x
  3. Step 3: Cross multiply
    174,635x = 267,026 × 267,026
  4. Step 4: Simplify right side
    174,635x = 71,302,884,676
  5. Step 5: Solve for x
    x = 71,302,884,676/174,635
  6. Step 6: Final answer
    x = 408,296.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.