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Finding the Third Proportional to 179,493 and 281,596.50

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Solution

The third proportional to 179,493 and 281,596.50 is: 441,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,493 : 281,596.50 = 281,596.50 : x
  2. Step 2: Convert to fraction form
    179,493/281,596.50 = 281,596.50/x
  3. Step 3: Cross multiply
    179,493x = 281,596.50 × 281,596.50
  4. Step 4: Simplify right side
    179,493x = 79,296,588,812.25
  5. Step 5: Solve for x
    x = 79,296,588,812.25/179,493
  6. Step 6: Final answer
    x = 441,780.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.