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Finding the Third Proportional to 179,861 and 263,958.50

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Solution

The third proportional to 179,861 and 263,958.50 is: 387,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,861 : 263,958.50 = 263,958.50 : x
  2. Step 2: Convert to fraction form
    179,861/263,958.50 = 263,958.50/x
  3. Step 3: Cross multiply
    179,861x = 263,958.50 × 263,958.50
  4. Step 4: Simplify right side
    179,861x = 69,674,089,722.25
  5. Step 5: Solve for x
    x = 69,674,089,722.25/179,861
  6. Step 6: Final answer
    x = 387,377.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.