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Finding the Third Proportional to 179,309 and 267,910

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Solution

The third proportional to 179,309 and 267,910 is: 400,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,309 : 267,910 = 267,910 : x
  2. Step 2: Convert to fraction form
    179,309/267,910 = 267,910/x
  3. Step 3: Cross multiply
    179,309x = 267,910 × 267,910
  4. Step 4: Simplify right side
    179,309x = 71,775,768,100
  5. Step 5: Solve for x
    x = 71,775,768,100/179,309
  6. Step 6: Final answer
    x = 400,290.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.