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Finding the Third Proportional to 179,155.50 and 271,049.25

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Solution

The third proportional to 179,155.50 and 271,049.25 is: 410,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,155.50 : 271,049.25 = 271,049.25 : x
  2. Step 2: Convert to fraction form
    179,155.50/271,049.25 = 271,049.25/x
  3. Step 3: Cross multiply
    179,155.50x = 271,049.25 × 271,049.25
  4. Step 4: Simplify right side
    179,155.50x = 73,467,695,925.56
  5. Step 5: Solve for x
    x = 73,467,695,925.56/179,155.50
  6. Step 6: Final answer
    x = 410,077.81

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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.