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Finding the Third Proportional to 179,604 and 281,745

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Solution

The third proportional to 179,604 and 281,745 is: 441,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,604 : 281,745 = 281,745 : x
  2. Step 2: Convert to fraction form
    179,604/281,745 = 281,745/x
  3. Step 3: Cross multiply
    179,604x = 281,745 × 281,745
  4. Step 4: Simplify right side
    179,604x = 79,380,245,025
  5. Step 5: Solve for x
    x = 79,380,245,025/179,604
  6. Step 6: Final answer
    x = 441,973.70

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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.