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Finding the Third Proportional to 180,367 and 281,467

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Solution

The third proportional to 180,367 and 281,467 is: 439,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,367 : 281,467 = 281,467 : x
  2. Step 2: Convert to fraction form
    180,367/281,467 = 281,467/x
  3. Step 3: Cross multiply
    180,367x = 281,467 × 281,467
  4. Step 4: Simplify right side
    180,367x = 79,223,672,089
  5. Step 5: Solve for x
    x = 79,223,672,089/180,367
  6. Step 6: Final answer
    x = 439,235.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.