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Finding the Third Proportional to 202,666.50 and 451,935

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Solution

The third proportional to 202,666.50 and 451,935 is: 1,007,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,666.50 : 451,935 = 451,935 : x
  2. Step 2: Convert to fraction form
    202,666.50/451,935 = 451,935/x
  3. Step 3: Cross multiply
    202,666.50x = 451,935 × 451,935
  4. Step 4: Simplify right side
    202,666.50x = 204,245,244,225
  5. Step 5: Solve for x
    x = 204,245,244,225/202,666.50
  6. Step 6: Final answer
    x = 1,007,789.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.