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Finding the Third Proportional to 211.68 and 335.07

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Solution

The third proportional to 211.68 and 335.07 is: 530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.68 : 335.07 = 335.07 : x
  2. Step 2: Convert to fraction form
    211.68/335.07 = 335.07/x
  3. Step 3: Cross multiply
    211.68x = 335.07 × 335.07
  4. Step 4: Simplify right side
    211.68x = 112,274.73
  5. Step 5: Solve for x
    x = 112,274.73/211.68
  6. Step 6: Final answer
    x = 530.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.