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Finding the Third Proportional to 180,724 and 271,086

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Solution

The third proportional to 180,724 and 271,086 is: 406,629

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,724 : 271,086 = 271,086 : x
  2. Step 2: Convert to fraction form
    180,724/271,086 = 271,086/x
  3. Step 3: Cross multiply
    180,724x = 271,086 × 271,086
  4. Step 4: Simplify right side
    180,724x = 73,487,619,396
  5. Step 5: Solve for x
    x = 73,487,619,396/180,724
  6. Step 6: Final answer
    x = 406,629

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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.