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Finding the Third Proportional to 214,567.50 and 324,615.75

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Solution

The third proportional to 214,567.50 and 324,615.75 is: 491,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,567.50 : 324,615.75 = 324,615.75 : x
  2. Step 2: Convert to fraction form
    214,567.50/324,615.75 = 324,615.75/x
  3. Step 3: Cross multiply
    214,567.50x = 324,615.75 × 324,615.75
  4. Step 4: Simplify right side
    214,567.50x = 105,375,385,148.06
  5. Step 5: Solve for x
    x = 105,375,385,148.06/214,567.50
  6. Step 6: Final answer
    x = 491,105.99

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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.