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Finding the Third Proportional to 108,396 and 170,265

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Solution

The third proportional to 108,396 and 170,265 is: 267,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,396 : 170,265 = 170,265 : x
  2. Step 2: Convert to fraction form
    108,396/170,265 = 170,265/x
  3. Step 3: Cross multiply
    108,396x = 170,265 × 170,265
  4. Step 4: Simplify right side
    108,396x = 28,990,170,225
  5. Step 5: Solve for x
    x = 28,990,170,225/108,396
  6. Step 6: Final answer
    x = 267,446.86

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Why These Related Problems?

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