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Finding the Third Proportional to 140,424 and 335,760

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Solution

The third proportional to 140,424 and 335,760 is: 802,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,424 : 335,760 = 335,760 : x
  2. Step 2: Convert to fraction form
    140,424/335,760 = 335,760/x
  3. Step 3: Cross multiply
    140,424x = 335,760 × 335,760
  4. Step 4: Simplify right side
    140,424x = 112,734,777,600
  5. Step 5: Solve for x
    x = 112,734,777,600/140,424
  6. Step 6: Final answer
    x = 802,817.02

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.