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Finding the Third Proportional to 195.42 and 362.01

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Solution

The third proportional to 195.42 and 362.01 is: 670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.42 : 362.01 = 362.01 : x
  2. Step 2: Convert to fraction form
    195.42/362.01 = 362.01/x
  3. Step 3: Cross multiply
    195.42x = 362.01 × 362.01
  4. Step 4: Simplify right side
    195.42x = 131,050.01
  5. Step 5: Solve for x
    x = 131,050.01/195.42
  6. Step 6: Final answer
    x = 670.61

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.