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Finding the Third Proportional to 178,268 and 267,441

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Solution

The third proportional to 178,268 and 267,441 is: 401,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,268 : 267,441 = 267,441 : x
  2. Step 2: Convert to fraction form
    178,268/267,441 = 267,441/x
  3. Step 3: Cross multiply
    178,268x = 267,441 × 267,441
  4. Step 4: Simplify right side
    178,268x = 71,524,688,481
  5. Step 5: Solve for x
    x = 71,524,688,481/178,268
  6. Step 6: Final answer
    x = 401,220.01

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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.