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Finding the Third Proportional to 196,821 and 295,180.03

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Solution

The third proportional to 196,821 and 295,180.03 is: 442,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,821 : 295,180.03 = 295,180.03 : x
  2. Step 2: Convert to fraction form
    196,821/295,180.03 = 295,180.03/x
  3. Step 3: Cross multiply
    196,821x = 295,180.03 × 295,180.03
  4. Step 4: Simplify right side
    196,821x = 87,131,250,848.75
  5. Step 5: Solve for x
    x = 87,131,250,848.75/196,821
  6. Step 6: Final answer
    x = 442,692.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.