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Finding the Third Proportional to 180,828 and 267,556

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Solution

The third proportional to 180,828 and 267,556 is: 395,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,828 : 267,556 = 267,556 : x
  2. Step 2: Convert to fraction form
    180,828/267,556 = 267,556/x
  3. Step 3: Cross multiply
    180,828x = 267,556 × 267,556
  4. Step 4: Simplify right side
    180,828x = 71,586,213,136
  5. Step 5: Solve for x
    x = 71,586,213,136/180,828
  6. Step 6: Final answer
    x = 395,880.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.