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Finding the Third Proportional to 214.31 and 285.19

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Solution

The third proportional to 214.31 and 285.19 is: 379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 285.19 = 285.19 : x
  2. Step 2: Convert to fraction form
    214.31/285.19 = 285.19/x
  3. Step 3: Cross multiply
    214.31x = 285.19 × 285.19
  4. Step 4: Simplify right side
    214.31x = 81,331.91
  5. Step 5: Solve for x
    x = 81,331.91/214.31
  6. Step 6: Final answer
    x = 379.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.