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Finding the Third Proportional to 140.44 and 222.84

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Solution

The third proportional to 140.44 and 222.84 is: 353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.44 : 222.84 = 222.84 : x
  2. Step 2: Convert to fraction form
    140.44/222.84 = 222.84/x
  3. Step 3: Cross multiply
    140.44x = 222.84 × 222.84
  4. Step 4: Simplify right side
    140.44x = 49,659.34
  5. Step 5: Solve for x
    x = 49,659.34/140.44
  6. Step 6: Final answer
    x = 353.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.