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Finding the Third Proportional to 178,464 and 267,696

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Solution

The third proportional to 178,464 and 267,696 is: 401,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,464 : 267,696 = 267,696 : x
  2. Step 2: Convert to fraction form
    178,464/267,696 = 267,696/x
  3. Step 3: Cross multiply
    178,464x = 267,696 × 267,696
  4. Step 4: Simplify right side
    178,464x = 71,661,148,416
  5. Step 5: Solve for x
    x = 71,661,148,416/178,464
  6. Step 6: Final answer
    x = 401,544

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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.