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Finding the Third Proportional to 211.27 and 336.05

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Solution

The third proportional to 211.27 and 336.05 is: 534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.27 : 336.05 = 336.05 : x
  2. Step 2: Convert to fraction form
    211.27/336.05 = 336.05/x
  3. Step 3: Cross multiply
    211.27x = 336.05 × 336.05
  4. Step 4: Simplify right side
    211.27x = 112,927.50
  5. Step 5: Solve for x
    x = 112,927.50/211.27
  6. Step 6: Final answer
    x = 534.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.