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Finding the Third Proportional to 196,384.50 and 298,221.75

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Solution

The third proportional to 196,384.50 and 298,221.75 is: 452,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,384.50 : 298,221.75 = 298,221.75 : x
  2. Step 2: Convert to fraction form
    196,384.50/298,221.75 = 298,221.75/x
  3. Step 3: Cross multiply
    196,384.50x = 298,221.75 × 298,221.75
  4. Step 4: Simplify right side
    196,384.50x = 88,936,212,173.06
  5. Step 5: Solve for x
    x = 88,936,212,173.06/196,384.50
  6. Step 6: Final answer
    x = 452,867.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.