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Finding the Third Proportional to 214.13 and 324.75

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Solution

The third proportional to 214.13 and 324.75 is: 492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 324.75 = 324.75 : x
  2. Step 2: Convert to fraction form
    214.13/324.75 = 324.75/x
  3. Step 3: Cross multiply
    214.13x = 324.75 × 324.75
  4. Step 4: Simplify right side
    214.13x = 105,462.56
  5. Step 5: Solve for x
    x = 105,462.56/214.13
  6. Step 6: Final answer
    x = 492.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.