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Finding the Third Proportional to 148,794 and 222,280

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Solution

The third proportional to 148,794 and 222,280 is: 332,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,794 : 222,280 = 222,280 : x
  2. Step 2: Convert to fraction form
    148,794/222,280 = 222,280/x
  3. Step 3: Cross multiply
    148,794x = 222,280 × 222,280
  4. Step 4: Simplify right side
    148,794x = 49,408,398,400
  5. Step 5: Solve for x
    x = 49,408,398,400/148,794
  6. Step 6: Final answer
    x = 332,059.08

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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.