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Finding the Third Proportional to 214,563.38 and 324,609.75

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Solution

The third proportional to 214,563.38 and 324,609.75 is: 491,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,563.38 : 324,609.75 = 324,609.75 : x
  2. Step 2: Convert to fraction form
    214,563.38/324,609.75 = 324,609.75/x
  3. Step 3: Cross multiply
    214,563.38x = 324,609.75 × 324,609.75
  4. Step 4: Simplify right side
    214,563.38x = 105,371,489,795.06
  5. Step 5: Solve for x
    x = 105,371,489,795.06/214,563.38
  6. Step 6: Final answer
    x = 491,097.28

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