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Finding the Third Proportional to 228,906 and 332,950.50

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Solution

The third proportional to 228,906 and 332,950.50 is: 484,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,906 : 332,950.50 = 332,950.50 : x
  2. Step 2: Convert to fraction form
    228,906/332,950.50 = 332,950.50/x
  3. Step 3: Cross multiply
    228,906x = 332,950.50 × 332,950.50
  4. Step 4: Simplify right side
    228,906x = 110,856,035,450.25
  5. Step 5: Solve for x
    x = 110,856,035,450.25/228,906
  6. Step 6: Final answer
    x = 484,286.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.