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Finding the Third Proportional to 170,936 and 374,079

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Solution

The third proportional to 170,936 and 374,079 is: 818,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,936 : 374,079 = 374,079 : x
  2. Step 2: Convert to fraction form
    170,936/374,079 = 374,079/x
  3. Step 3: Cross multiply
    170,936x = 374,079 × 374,079
  4. Step 4: Simplify right side
    170,936x = 139,935,098,241
  5. Step 5: Solve for x
    x = 139,935,098,241/170,936
  6. Step 6: Final answer
    x = 818,640.30

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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.