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Finding the Third Proportional to 211.50 and 293.25

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Solution

The third proportional to 211.50 and 293.25 is: 406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 293.25 = 293.25 : x
  2. Step 2: Convert to fraction form
    211.50/293.25 = 293.25/x
  3. Step 3: Cross multiply
    211.50x = 293.25 × 293.25
  4. Step 4: Simplify right side
    211.50x = 85,995.56
  5. Step 5: Solve for x
    x = 85,995.56/211.50
  6. Step 6: Final answer
    x = 406.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.