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Finding the Third Proportional to 196,645.50 and 298,593

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Solution

The third proportional to 196,645.50 and 298,593 is: 453,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,645.50 : 298,593 = 298,593 : x
  2. Step 2: Convert to fraction form
    196,645.50/298,593 = 298,593/x
  3. Step 3: Cross multiply
    196,645.50x = 298,593 × 298,593
  4. Step 4: Simplify right side
    196,645.50x = 89,157,779,649
  5. Step 5: Solve for x
    x = 89,157,779,649/196,645.50
  6. Step 6: Final answer
    x = 453,393.44

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