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Finding the Third Proportional to 270.50 and 353.25

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Solution

The third proportional to 270.50 and 353.25 is: 461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.50 : 353.25 = 353.25 : x
  2. Step 2: Convert to fraction form
    270.50/353.25 = 353.25/x
  3. Step 3: Cross multiply
    270.50x = 353.25 × 353.25
  4. Step 4: Simplify right side
    270.50x = 124,785.56
  5. Step 5: Solve for x
    x = 124,785.56/270.50
  6. Step 6: Final answer
    x = 461.31

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Why These Related Problems?

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