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Finding the Third Proportional to 140,651.44 and 210,992.34

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Solution

The third proportional to 140,651.44 and 210,992.34 is: 316,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,651.44 : 210,992.34 = 210,992.34 : x
  2. Step 2: Convert to fraction form
    140,651.44/210,992.34 = 210,992.34/x
  3. Step 3: Cross multiply
    140,651.44x = 210,992.34 × 210,992.34
  4. Step 4: Simplify right side
    140,651.44x = 44,517,769,121.12
  5. Step 5: Solve for x
    x = 44,517,769,121.12/140,651.44
  6. Step 6: Final answer
    x = 316,511.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.