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Finding the Third Proportional to 170,738 and 372,580

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Solution

The third proportional to 170,738 and 372,580 is: 813,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,738 : 372,580 = 372,580 : x
  2. Step 2: Convert to fraction form
    170,738/372,580 = 372,580/x
  3. Step 3: Cross multiply
    170,738x = 372,580 × 372,580
  4. Step 4: Simplify right side
    170,738x = 138,815,856,400
  5. Step 5: Solve for x
    x = 138,815,856,400/170,738
  6. Step 6: Final answer
    x = 813,034.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.