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Finding the Third Proportional to 96,274 and 214,684

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Solution

The third proportional to 96,274 and 214,684 is: 478,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,274 : 214,684 = 214,684 : x
  2. Step 2: Convert to fraction form
    96,274/214,684 = 214,684/x
  3. Step 3: Cross multiply
    96,274x = 214,684 × 214,684
  4. Step 4: Simplify right side
    96,274x = 46,089,219,856
  5. Step 5: Solve for x
    x = 46,089,219,856/96,274
  6. Step 6: Final answer
    x = 478,729.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.