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Finding the Third Proportional to 273,744.50 and 366,173

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Solution

The third proportional to 273,744.50 and 366,173 is: 489,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,744.50 : 366,173 = 366,173 : x
  2. Step 2: Convert to fraction form
    273,744.50/366,173 = 366,173/x
  3. Step 3: Cross multiply
    273,744.50x = 366,173 × 366,173
  4. Step 4: Simplify right side
    273,744.50x = 134,082,665,929
  5. Step 5: Solve for x
    x = 134,082,665,929/273,744.50
  6. Step 6: Final answer
    x = 489,809.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.