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Finding the Third Proportional to 171,963 and 229,344.75

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Solution

The third proportional to 171,963 and 229,344.75 is: 305,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,963 : 229,344.75 = 229,344.75 : x
  2. Step 2: Convert to fraction form
    171,963/229,344.75 = 229,344.75/x
  3. Step 3: Cross multiply
    171,963x = 229,344.75 × 229,344.75
  4. Step 4: Simplify right side
    171,963x = 52,599,014,352.56
  5. Step 5: Solve for x
    x = 52,599,014,352.56/171,963
  6. Step 6: Final answer
    x = 305,874.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.