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Finding the Third Proportional to 169,198 and 267,726

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Solution

The third proportional to 169,198 and 267,726 is: 423,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,198 : 267,726 = 267,726 : x
  2. Step 2: Convert to fraction form
    169,198/267,726 = 267,726/x
  3. Step 3: Cross multiply
    169,198x = 267,726 × 267,726
  4. Step 4: Simplify right side
    169,198x = 71,677,211,076
  5. Step 5: Solve for x
    x = 71,677,211,076/169,198
  6. Step 6: Final answer
    x = 423,629.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.