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Finding the Third Proportional to 206,633.25 and 319,161.38

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Solution

The third proportional to 206,633.25 and 319,161.38 is: 492,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,633.25 : 319,161.38 = 319,161.38 : x
  2. Step 2: Convert to fraction form
    206,633.25/319,161.38 = 319,161.38/x
  3. Step 3: Cross multiply
    206,633.25x = 319,161.38 × 319,161.38
  4. Step 4: Simplify right side
    206,633.25x = 101,863,983,291.89
  5. Step 5: Solve for x
    x = 101,863,983,291.89/206,633.25
  6. Step 6: Final answer
    x = 492,969.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.