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Finding the Third Proportional to 179,474 and 281,581

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Solution

The third proportional to 179,474 and 281,581 is: 441,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,474 : 281,581 = 281,581 : x
  2. Step 2: Convert to fraction form
    179,474/281,581 = 281,581/x
  3. Step 3: Cross multiply
    179,474x = 281,581 × 281,581
  4. Step 4: Simplify right side
    179,474x = 79,287,859,561
  5. Step 5: Solve for x
    x = 79,287,859,561/179,474
  6. Step 6: Final answer
    x = 441,779.09

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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.