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Finding the Third Proportional to 170,396 and 267,322

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Solution

The third proportional to 170,396 and 267,322 is: 419,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,396 : 267,322 = 267,322 : x
  2. Step 2: Convert to fraction form
    170,396/267,322 = 267,322/x
  3. Step 3: Cross multiply
    170,396x = 267,322 × 267,322
  4. Step 4: Simplify right side
    170,396x = 71,461,051,684
  5. Step 5: Solve for x
    x = 71,461,051,684/170,396
  6. Step 6: Final answer
    x = 419,382.21

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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.