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Finding the Third Proportional to 179,859 and 263,956.50

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Solution

The third proportional to 179,859 and 263,956.50 is: 387,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,859 : 263,956.50 = 263,956.50 : x
  2. Step 2: Convert to fraction form
    179,859/263,956.50 = 263,956.50/x
  3. Step 3: Cross multiply
    179,859x = 263,956.50 × 263,956.50
  4. Step 4: Simplify right side
    179,859x = 69,673,033,892.25
  5. Step 5: Solve for x
    x = 69,673,033,892.25/179,859
  6. Step 6: Final answer
    x = 387,375.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.