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Finding the Third Proportional to 168,904 and 267,440

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Solution

The third proportional to 168,904 and 267,440 is: 423,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,904 : 267,440 = 267,440 : x
  2. Step 2: Convert to fraction form
    168,904/267,440 = 267,440/x
  3. Step 3: Cross multiply
    168,904x = 267,440 × 267,440
  4. Step 4: Simplify right side
    168,904x = 71,524,153,600
  5. Step 5: Solve for x
    x = 71,524,153,600/168,904
  6. Step 6: Final answer
    x = 423,460.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.