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Finding the Third Proportional to 250.59 and 329.48

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Solution

The third proportional to 250.59 and 329.48 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.59 : 329.48 = 329.48 : x
  2. Step 2: Convert to fraction form
    250.59/329.48 = 329.48/x
  3. Step 3: Cross multiply
    250.59x = 329.48 × 329.48
  4. Step 4: Simplify right side
    250.59x = 108,559.95
  5. Step 5: Solve for x
    x = 108,559.95/250.59
  6. Step 6: Final answer
    x = 433.21

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.