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Finding the Third Proportional to 140,367.94 and 301,752.56

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Solution

The third proportional to 140,367.94 and 301,752.56 is: 648,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,367.94 : 301,752.56 = 301,752.56 : x
  2. Step 2: Convert to fraction form
    140,367.94/301,752.56 = 301,752.56/x
  3. Step 3: Cross multiply
    140,367.94x = 301,752.56 × 301,752.56
  4. Step 4: Simplify right side
    140,367.94x = 91,054,608,975.32
  5. Step 5: Solve for x
    x = 91,054,608,975.32/140,367.94
  6. Step 6: Final answer
    x = 648,685.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.