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Finding the Third Proportional to 179,193.50 and 384,947

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Solution

The third proportional to 179,193.50 and 384,947 is: 826,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,193.50 : 384,947 = 384,947 : x
  2. Step 2: Convert to fraction form
    179,193.50/384,947 = 384,947/x
  3. Step 3: Cross multiply
    179,193.50x = 384,947 × 384,947
  4. Step 4: Simplify right side
    179,193.50x = 148,184,192,809
  5. Step 5: Solve for x
    x = 148,184,192,809/179,193.50
  6. Step 6: Final answer
    x = 826,950.71

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Why These Related Problems?

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