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Finding the Third Proportional to 206,969.63 and 303,641.44

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Solution

The third proportional to 206,969.63 and 303,641.44 is: 445,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,969.63 : 303,641.44 = 303,641.44 : x
  2. Step 2: Convert to fraction form
    206,969.63/303,641.44 = 303,641.44/x
  3. Step 3: Cross multiply
    206,969.63x = 303,641.44 × 303,641.44
  4. Step 4: Simplify right side
    206,969.63x = 92,198,122,567.07
  5. Step 5: Solve for x
    x = 92,198,122,567.07/206,969.63
  6. Step 6: Final answer
    x = 445,466.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.