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Finding the Third Proportional to 140.63 and 198.56

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Solution

The third proportional to 140.63 and 198.56 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.63 : 198.56 = 198.56 : x
  2. Step 2: Convert to fraction form
    140.63/198.56 = 198.56/x
  3. Step 3: Cross multiply
    140.63x = 198.56 × 198.56
  4. Step 4: Simplify right side
    140.63x = 39,427.07
  5. Step 5: Solve for x
    x = 39,427.07/140.63
  6. Step 6: Final answer
    x = 280.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.