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Finding the Third Proportional to 179,142 and 267,777

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Solution

The third proportional to 179,142 and 267,777 is: 400,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,142 : 267,777 = 267,777 : x
  2. Step 2: Convert to fraction form
    179,142/267,777 = 267,777/x
  3. Step 3: Cross multiply
    179,142x = 267,777 × 267,777
  4. Step 4: Simplify right side
    179,142x = 71,704,521,729
  5. Step 5: Solve for x
    x = 71,704,521,729/179,142
  6. Step 6: Final answer
    x = 400,266.39

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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.