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Finding the Third Proportional to 136,231.88 and 204,393.38

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Solution

The third proportional to 136,231.88 and 204,393.38 is: 306,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,231.88 : 204,393.38 = 204,393.38 : x
  2. Step 2: Convert to fraction form
    136,231.88/204,393.38 = 204,393.38/x
  3. Step 3: Cross multiply
    136,231.88x = 204,393.38 × 204,393.38
  4. Step 4: Simplify right side
    136,231.88x = 41,776,651,743.89
  5. Step 5: Solve for x
    x = 41,776,651,743.89/136,231.88
  6. Step 6: Final answer
    x = 306,658.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.