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Finding the Third Proportional to 148,400 and 222,600

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Solution

The third proportional to 148,400 and 222,600 is: 333,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,400 : 222,600 = 222,600 : x
  2. Step 2: Convert to fraction form
    148,400/222,600 = 222,600/x
  3. Step 3: Cross multiply
    148,400x = 222,600 × 222,600
  4. Step 4: Simplify right side
    148,400x = 49,550,760,000
  5. Step 5: Solve for x
    x = 49,550,760,000/148,400
  6. Step 6: Final answer
    x = 333,900

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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.