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Finding the Third Proportional to 235.75 and 356.63

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Solution

The third proportional to 235.75 and 356.63 is: 539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.75 : 356.63 = 356.63 : x
  2. Step 2: Convert to fraction form
    235.75/356.63 = 356.63/x
  3. Step 3: Cross multiply
    235.75x = 356.63 × 356.63
  4. Step 4: Simplify right side
    235.75x = 127,181.39
  5. Step 5: Solve for x
    x = 127,181.39/235.75
  6. Step 6: Final answer
    x = 539.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.