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Finding the Third Proportional to 140,992.50 and 218,454.75

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Solution

The third proportional to 140,992.50 and 218,454.75 is: 338,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,992.50 : 218,454.75 = 218,454.75 : x
  2. Step 2: Convert to fraction form
    140,992.50/218,454.75 = 218,454.75/x
  3. Step 3: Cross multiply
    140,992.50x = 218,454.75 × 218,454.75
  4. Step 4: Simplify right side
    140,992.50x = 47,722,477,797.56
  5. Step 5: Solve for x
    x = 47,722,477,797.56/140,992.50
  6. Step 6: Final answer
    x = 338,475.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.