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Finding the Third Proportional to 148,237 and 221,949

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Solution

The third proportional to 148,237 and 221,949 is: 332,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,237 : 221,949 = 221,949 : x
  2. Step 2: Convert to fraction form
    148,237/221,949 = 221,949/x
  3. Step 3: Cross multiply
    148,237x = 221,949 × 221,949
  4. Step 4: Simplify right side
    148,237x = 49,261,358,601
  5. Step 5: Solve for x
    x = 49,261,358,601/148,237
  6. Step 6: Final answer
    x = 332,314.86

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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.