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Finding the Third Proportional to 180,592 and 268,288

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Solution

The third proportional to 180,592 and 268,288 is: 398,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,592 : 268,288 = 268,288 : x
  2. Step 2: Convert to fraction form
    180,592/268,288 = 268,288/x
  3. Step 3: Cross multiply
    180,592x = 268,288 × 268,288
  4. Step 4: Simplify right side
    180,592x = 71,978,450,944
  5. Step 5: Solve for x
    x = 71,978,450,944/180,592
  6. Step 6: Final answer
    x = 398,569.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.