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Finding the Third Proportional to 208,932.50 and 451,115

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Solution

The third proportional to 208,932.50 and 451,115 is: 974,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,932.50 : 451,115 = 451,115 : x
  2. Step 2: Convert to fraction form
    208,932.50/451,115 = 451,115/x
  3. Step 3: Cross multiply
    208,932.50x = 451,115 × 451,115
  4. Step 4: Simplify right side
    208,932.50x = 203,504,743,225
  5. Step 5: Solve for x
    x = 203,504,743,225/208,932.50
  6. Step 6: Final answer
    x = 974,021.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.