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Finding the Third Proportional to 174,624.75 and 267,012

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Solution

The third proportional to 174,624.75 and 267,012 is: 408,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,624.75 : 267,012 = 267,012 : x
  2. Step 2: Convert to fraction form
    174,624.75/267,012 = 267,012/x
  3. Step 3: Cross multiply
    174,624.75x = 267,012 × 267,012
  4. Step 4: Simplify right side
    174,624.75x = 71,295,408,144
  5. Step 5: Solve for x
    x = 71,295,408,144/174,624.75
  6. Step 6: Final answer
    x = 408,277.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.