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Finding the Third Proportional to 173,660 and 267,410

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Solution

The third proportional to 173,660 and 267,410 is: 411,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,660 : 267,410 = 267,410 : x
  2. Step 2: Convert to fraction form
    173,660/267,410 = 267,410/x
  3. Step 3: Cross multiply
    173,660x = 267,410 × 267,410
  4. Step 4: Simplify right side
    173,660x = 71,508,108,100
  5. Step 5: Solve for x
    x = 71,508,108,100/173,660
  6. Step 6: Final answer
    x = 411,770.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.