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Finding the Third Proportional to 175,134 and 267,071

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Solution

The third proportional to 175,134 and 267,071 is: 407,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,134 : 267,071 = 267,071 : x
  2. Step 2: Convert to fraction form
    175,134/267,071 = 267,071/x
  3. Step 3: Cross multiply
    175,134x = 267,071 × 267,071
  4. Step 4: Simplify right side
    175,134x = 71,326,919,041
  5. Step 5: Solve for x
    x = 71,326,919,041/175,134
  6. Step 6: Final answer
    x = 407,270.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.