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Finding the Third Proportional to 170,483 and 267,437

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Solution

The third proportional to 170,483 and 267,437 is: 419,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,483 : 267,437 = 267,437 : x
  2. Step 2: Convert to fraction form
    170,483/267,437 = 267,437/x
  3. Step 3: Cross multiply
    170,483x = 267,437 × 267,437
  4. Step 4: Simplify right side
    170,483x = 71,522,548,969
  5. Step 5: Solve for x
    x = 71,522,548,969/170,483
  6. Step 6: Final answer
    x = 419,528.92

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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.