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Finding the Third Proportional to 140,393.46 and 200,764.30

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Solution

The third proportional to 140,393.46 and 200,764.30 is: 287,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,393.46 : 200,764.30 = 200,764.30 : x
  2. Step 2: Convert to fraction form
    140,393.46/200,764.30 = 200,764.30/x
  3. Step 3: Cross multiply
    140,393.46x = 200,764.30 × 200,764.30
  4. Step 4: Simplify right side
    140,393.46x = 40,306,305,791.59
  5. Step 5: Solve for x
    x = 40,306,305,791.59/140,393.46
  6. Step 6: Final answer
    x = 287,095.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.