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Finding the Third Proportional to 193,883.06 and 410,121.56

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Solution

The third proportional to 193,883.06 and 410,121.56 is: 867,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,883.06 : 410,121.56 = 410,121.56 : x
  2. Step 2: Convert to fraction form
    193,883.06/410,121.56 = 410,121.56/x
  3. Step 3: Cross multiply
    193,883.06x = 410,121.56 × 410,121.56
  4. Step 4: Simplify right side
    193,883.06x = 168,199,696,027.44
  5. Step 5: Solve for x
    x = 168,199,696,027.44/193,883.06
  6. Step 6: Final answer
    x = 867,531.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.