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Finding the Third Proportional to 196,480.69 and 295,693.03

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Solution

The third proportional to 196,480.69 and 295,693.03 is: 445,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,480.69 : 295,693.03 = 295,693.03 : x
  2. Step 2: Convert to fraction form
    196,480.69/295,693.03 = 295,693.03/x
  3. Step 3: Cross multiply
    196,480.69x = 295,693.03 × 295,693.03
  4. Step 4: Simplify right side
    196,480.69x = 87,434,368,729.81
  5. Step 5: Solve for x
    x = 87,434,368,729.81/196,480.69
  6. Step 6: Final answer
    x = 445,002.36

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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.