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Finding the Third Proportional to 235.88 and 342.19

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Solution

The third proportional to 235.88 and 342.19 is: 496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.88 : 342.19 = 342.19 : x
  2. Step 2: Convert to fraction form
    235.88/342.19 = 342.19/x
  3. Step 3: Cross multiply
    235.88x = 342.19 × 342.19
  4. Step 4: Simplify right side
    235.88x = 117,092.29
  5. Step 5: Solve for x
    x = 117,092.29/235.88
  6. Step 6: Final answer
    x = 496.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.