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Finding the Third Proportional to 178,604 and 270,200

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Solution

The third proportional to 178,604 and 270,200 is: 408,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,604 : 270,200 = 270,200 : x
  2. Step 2: Convert to fraction form
    178,604/270,200 = 270,200/x
  3. Step 3: Cross multiply
    178,604x = 270,200 × 270,200
  4. Step 4: Simplify right side
    178,604x = 73,008,040,000
  5. Step 5: Solve for x
    x = 73,008,040,000/178,604
  6. Step 6: Final answer
    x = 408,770.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.