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Finding the Third Proportional to 214.31 and 321.47

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Solution

The third proportional to 214.31 and 321.47 is: 482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 321.47 = 321.47 : x
  2. Step 2: Convert to fraction form
    214.31/321.47 = 321.47/x
  3. Step 3: Cross multiply
    214.31x = 321.47 × 321.47
  4. Step 4: Simplify right side
    214.31x = 103,342.16
  5. Step 5: Solve for x
    x = 103,342.16/214.31
  6. Step 6: Final answer
    x = 482.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.