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Finding the Third Proportional to 108,390 and 170,256

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Solution

The third proportional to 108,390 and 170,256 is: 267,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,390 : 170,256 = 170,256 : x
  2. Step 2: Convert to fraction form
    108,390/170,256 = 170,256/x
  3. Step 3: Cross multiply
    108,390x = 170,256 × 170,256
  4. Step 4: Simplify right side
    108,390x = 28,987,105,536
  5. Step 5: Solve for x
    x = 28,987,105,536/108,390
  6. Step 6: Final answer
    x = 267,433.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.