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Finding the Third Proportional to 197,190 and 295,445.25

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Solution

The third proportional to 197,190 and 295,445.25 is: 442,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,190 : 295,445.25 = 295,445.25 : x
  2. Step 2: Convert to fraction form
    197,190/295,445.25 = 295,445.25/x
  3. Step 3: Cross multiply
    197,190x = 295,445.25 × 295,445.25
  4. Step 4: Simplify right side
    197,190x = 87,287,895,747.56
  5. Step 5: Solve for x
    x = 87,287,895,747.56/197,190
  6. Step 6: Final answer
    x = 442,658.84

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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.