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Finding the Third Proportional to 195.96 and 430.42

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Solution

The third proportional to 195.96 and 430.42 is: 945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 430.42 = 430.42 : x
  2. Step 2: Convert to fraction form
    195.96/430.42 = 430.42/x
  3. Step 3: Cross multiply
    195.96x = 430.42 × 430.42
  4. Step 4: Simplify right side
    195.96x = 185,259.63
  5. Step 5: Solve for x
    x = 185,259.63/195.96
  6. Step 6: Final answer
    x = 945.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.