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Finding the Third Proportional to 202,899.94 and 433,942.31

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Solution

The third proportional to 202,899.94 and 433,942.31 is: 928,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,899.94 : 433,942.31 = 433,942.31 : x
  2. Step 2: Convert to fraction form
    202,899.94/433,942.31 = 433,942.31/x
  3. Step 3: Cross multiply
    202,899.94x = 433,942.31 × 433,942.31
  4. Step 4: Simplify right side
    202,899.94x = 188,305,930,577.85
  5. Step 5: Solve for x
    x = 188,305,930,577.85/202,899.94
  6. Step 6: Final answer
    x = 928,072.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.