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Finding the Third Proportional to 178,009.50 and 267,049.50

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Solution

The third proportional to 178,009.50 and 267,049.50 is: 400,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,009.50 : 267,049.50 = 267,049.50 : x
  2. Step 2: Convert to fraction form
    178,009.50/267,049.50 = 267,049.50/x
  3. Step 3: Cross multiply
    178,009.50x = 267,049.50 × 267,049.50
  4. Step 4: Simplify right side
    178,009.50x = 71,315,435,450.25
  5. Step 5: Solve for x
    x = 71,315,435,450.25/178,009.50
  6. Step 6: Final answer
    x = 400,627.13

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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.