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Finding the Third Proportional to 178,012.50 and 267,054

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Solution

The third proportional to 178,012.50 and 267,054 is: 400,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,012.50 : 267,054 = 267,054 : x
  2. Step 2: Convert to fraction form
    178,012.50/267,054 = 267,054/x
  3. Step 3: Cross multiply
    178,012.50x = 267,054 × 267,054
  4. Step 4: Simplify right side
    178,012.50x = 71,317,838,916
  5. Step 5: Solve for x
    x = 71,317,838,916/178,012.50
  6. Step 6: Final answer
    x = 400,633.88

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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.