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Finding the Third Proportional to 180,722 and 271,083

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Solution

The third proportional to 180,722 and 271,083 is: 406,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,722 : 271,083 = 271,083 : x
  2. Step 2: Convert to fraction form
    180,722/271,083 = 271,083/x
  3. Step 3: Cross multiply
    180,722x = 271,083 × 271,083
  4. Step 4: Simplify right side
    180,722x = 73,485,992,889
  5. Step 5: Solve for x
    x = 73,485,992,889/180,722
  6. Step 6: Final answer
    x = 406,624.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.