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Finding the Third Proportional to 179,639.44 and 281,801.53

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Solution

The third proportional to 179,639.44 and 281,801.53 is: 442,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,639.44 : 281,801.53 = 281,801.53 : x
  2. Step 2: Convert to fraction form
    179,639.44/281,801.53 = 281,801.53/x
  3. Step 3: Cross multiply
    179,639.44x = 281,801.53 × 281,801.53
  4. Step 4: Simplify right side
    179,639.44x = 79,412,103,014.84
  5. Step 5: Solve for x
    x = 79,412,103,014.84/179,639.44
  6. Step 6: Final answer
    x = 442,063.86

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Why These Related Problems?

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