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Finding the Third Proportional to 196,966.69 and 295,450.03

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Solution

The third proportional to 196,966.69 and 295,450.03 is: 443,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,966.69 : 295,450.03 = 295,450.03 : x
  2. Step 2: Convert to fraction form
    196,966.69/295,450.03 = 295,450.03/x
  3. Step 3: Cross multiply
    196,966.69x = 295,450.03 × 295,450.03
  4. Step 4: Simplify right side
    196,966.69x = 87,290,720,965.63
  5. Step 5: Solve for x
    x = 87,290,720,965.63/196,966.69
  6. Step 6: Final answer
    x = 443,175.05

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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.