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Finding the Third Proportional to 180,726 and 271,089

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Solution

The third proportional to 180,726 and 271,089 is: 406,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,726 : 271,089 = 271,089 : x
  2. Step 2: Convert to fraction form
    180,726/271,089 = 271,089/x
  3. Step 3: Cross multiply
    180,726x = 271,089 × 271,089
  4. Step 4: Simplify right side
    180,726x = 73,489,245,921
  5. Step 5: Solve for x
    x = 73,489,245,921/180,726
  6. Step 6: Final answer
    x = 406,633.50

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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.