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Finding the Third Proportional to 148,226 and 221,936

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Solution

The third proportional to 148,226 and 221,936 is: 332,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,226 : 221,936 = 221,936 : x
  2. Step 2: Convert to fraction form
    148,226/221,936 = 221,936/x
  3. Step 3: Cross multiply
    148,226x = 221,936 × 221,936
  4. Step 4: Simplify right side
    148,226x = 49,255,588,096
  5. Step 5: Solve for x
    x = 49,255,588,096/148,226
  6. Step 6: Final answer
    x = 332,300.60

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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.