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Finding the Third Proportional to 196,589 and 298,532

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Solution

The third proportional to 196,589 and 298,532 is: 453,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,589 : 298,532 = 298,532 : x
  2. Step 2: Convert to fraction form
    196,589/298,532 = 298,532/x
  3. Step 3: Cross multiply
    196,589x = 298,532 × 298,532
  4. Step 4: Simplify right side
    196,589x = 89,121,355,024
  5. Step 5: Solve for x
    x = 89,121,355,024/196,589
  6. Step 6: Final answer
    x = 453,338.46

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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.