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Finding the Third Proportional to 195.88 and 305.13

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Solution

The third proportional to 195.88 and 305.13 is: 475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.88 : 305.13 = 305.13 : x
  2. Step 2: Convert to fraction form
    195.88/305.13 = 305.13/x
  3. Step 3: Cross multiply
    195.88x = 305.13 × 305.13
  4. Step 4: Simplify right side
    195.88x = 93,101.27
  5. Step 5: Solve for x
    x = 93,101.27/195.88
  6. Step 6: Final answer
    x = 475.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.