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Finding the Third Proportional to 178,008.75 and 267,048.75

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Solution

The third proportional to 178,008.75 and 267,048.75 is: 400,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008.75 : 267,048.75 = 267,048.75 : x
  2. Step 2: Convert to fraction form
    178,008.75/267,048.75 = 267,048.75/x
  3. Step 3: Cross multiply
    178,008.75x = 267,048.75 × 267,048.75
  4. Step 4: Simplify right side
    178,008.75x = 71,315,034,876.56
  5. Step 5: Solve for x
    x = 71,315,034,876.56/178,008.75
  6. Step 6: Final answer
    x = 400,626.57

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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.