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Finding the Third Proportional to 197,196 and 295,698

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Solution

The third proportional to 197,196 and 295,698 is: 443,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,196 : 295,698 = 295,698 : x
  2. Step 2: Convert to fraction form
    197,196/295,698 = 295,698/x
  3. Step 3: Cross multiply
    197,196x = 295,698 × 295,698
  4. Step 4: Simplify right side
    197,196x = 87,437,307,204
  5. Step 5: Solve for x
    x = 87,437,307,204/197,196
  6. Step 6: Final answer
    x = 443,403.05

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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.