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Finding the Third Proportional to 170,902 and 374,608

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Solution

The third proportional to 170,902 and 374,608 is: 821,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,902 : 374,608 = 374,608 : x
  2. Step 2: Convert to fraction form
    170,902/374,608 = 374,608/x
  3. Step 3: Cross multiply
    170,902x = 374,608 × 374,608
  4. Step 4: Simplify right side
    170,902x = 140,331,153,664
  5. Step 5: Solve for x
    x = 140,331,153,664/170,902
  6. Step 6: Final answer
    x = 821,120.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.