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Finding the Third Proportional to 171,189 and 267,146

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Solution

The third proportional to 171,189 and 267,146 is: 416,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,189 : 267,146 = 267,146 : x
  2. Step 2: Convert to fraction form
    171,189/267,146 = 267,146/x
  3. Step 3: Cross multiply
    171,189x = 267,146 × 267,146
  4. Step 4: Simplify right side
    171,189x = 71,366,985,316
  5. Step 5: Solve for x
    x = 71,366,985,316/171,189
  6. Step 6: Final answer
    x = 416,890.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.