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Finding the Third Proportional to 174,627 and 267,015

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Solution

The third proportional to 174,627 and 267,015 is: 408,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,627 : 267,015 = 267,015 : x
  2. Step 2: Convert to fraction form
    174,627/267,015 = 267,015/x
  3. Step 3: Cross multiply
    174,627x = 267,015 × 267,015
  4. Step 4: Simplify right side
    174,627x = 71,297,010,225
  5. Step 5: Solve for x
    x = 71,297,010,225/174,627
  6. Step 6: Final answer
    x = 408,281.71

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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.