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Finding the Third Proportional to 140,604.75 and 200,922.75

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Solution

The third proportional to 140,604.75 and 200,922.75 is: 287,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,604.75 : 200,922.75 = 200,922.75 : x
  2. Step 2: Convert to fraction form
    140,604.75/200,922.75 = 200,922.75/x
  3. Step 3: Cross multiply
    140,604.75x = 200,922.75 × 200,922.75
  4. Step 4: Simplify right side
    140,604.75x = 40,369,951,467.56
  5. Step 5: Solve for x
    x = 40,369,951,467.56/140,604.75
  6. Step 6: Final answer
    x = 287,116.56

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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.