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Finding the Third Proportional to 214.31 and 324.56

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Solution

The third proportional to 214.31 and 324.56 is: 491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 324.56 = 324.56 : x
  2. Step 2: Convert to fraction form
    214.31/324.56 = 324.56/x
  3. Step 3: Cross multiply
    214.31x = 324.56 × 324.56
  4. Step 4: Simplify right side
    214.31x = 105,340.82
  5. Step 5: Solve for x
    x = 105,340.82/214.31
  6. Step 6: Final answer
    x = 491.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.