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Finding the Third Proportional to 227,942.50 and 496,021

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Solution

The third proportional to 227,942.50 and 496,021 is: 1,079,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,942.50 : 496,021 = 496,021 : x
  2. Step 2: Convert to fraction form
    227,942.50/496,021 = 496,021/x
  3. Step 3: Cross multiply
    227,942.50x = 496,021 × 496,021
  4. Step 4: Simplify right side
    227,942.50x = 246,036,832,441
  5. Step 5: Solve for x
    x = 246,036,832,441/227,942.50
  6. Step 6: Final answer
    x = 1,079,381.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.