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Finding the Third Proportional to 164,400 and 246,600

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Solution

The third proportional to 164,400 and 246,600 is: 369,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,400 : 246,600 = 246,600 : x
  2. Step 2: Convert to fraction form
    164,400/246,600 = 246,600/x
  3. Step 3: Cross multiply
    164,400x = 246,600 × 246,600
  4. Step 4: Simplify right side
    164,400x = 60,811,560,000
  5. Step 5: Solve for x
    x = 60,811,560,000/164,400
  6. Step 6: Final answer
    x = 369,900

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.