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Finding the Third Proportional to 170,744 and 250,580

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Solution

The third proportional to 170,744 and 250,580 is: 367,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,744 : 250,580 = 250,580 : x
  2. Step 2: Convert to fraction form
    170,744/250,580 = 250,580/x
  3. Step 3: Cross multiply
    170,744x = 250,580 × 250,580
  4. Step 4: Simplify right side
    170,744x = 62,790,336,400
  5. Step 5: Solve for x
    x = 62,790,336,400/170,744
  6. Step 6: Final answer
    x = 367,745.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.