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Finding the Third Proportional to 170,456 and 367,074

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Solution

The third proportional to 170,456 and 367,074 is: 790,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,456 : 367,074 = 367,074 : x
  2. Step 2: Convert to fraction form
    170,456/367,074 = 367,074/x
  3. Step 3: Cross multiply
    170,456x = 367,074 × 367,074
  4. Step 4: Simplify right side
    170,456x = 134,743,321,476
  5. Step 5: Solve for x
    x = 134,743,321,476/170,456
  6. Step 6: Final answer
    x = 790,487.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.