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Finding the Third Proportional to 178,146 and 267,450.75

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Solution

The third proportional to 178,146 and 267,450.75 is: 401,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,146 : 267,450.75 = 267,450.75 : x
  2. Step 2: Convert to fraction form
    178,146/267,450.75 = 267,450.75/x
  3. Step 3: Cross multiply
    178,146x = 267,450.75 × 267,450.75
  4. Step 4: Simplify right side
    178,146x = 71,529,903,675.56
  5. Step 5: Solve for x
    x = 71,529,903,675.56/178,146
  6. Step 6: Final answer
    x = 401,524.05

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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.