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Finding the Third Proportional to 227,853 and 332,950.50

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Solution

The third proportional to 227,853 and 332,950.50 is: 486,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,853 : 332,950.50 = 332,950.50 : x
  2. Step 2: Convert to fraction form
    227,853/332,950.50 = 332,950.50/x
  3. Step 3: Cross multiply
    227,853x = 332,950.50 × 332,950.50
  4. Step 4: Simplify right side
    227,853x = 110,856,035,450.25
  5. Step 5: Solve for x
    x = 110,856,035,450.25/227,853
  6. Step 6: Final answer
    x = 486,524.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.