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Finding the Third Proportional to 148,450 and 223,944

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Solution

The third proportional to 148,450 and 223,944 is: 337,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,450 : 223,944 = 223,944 : x
  2. Step 2: Convert to fraction form
    148,450/223,944 = 223,944/x
  3. Step 3: Cross multiply
    148,450x = 223,944 × 223,944
  4. Step 4: Simplify right side
    148,450x = 50,150,915,136
  5. Step 5: Solve for x
    x = 50,150,915,136/148,450
  6. Step 6: Final answer
    x = 337,830.35

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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.