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Finding the Third Proportional to 170,910 and 374,001

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Solution

The third proportional to 170,910 and 374,001 is: 818,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,910 : 374,001 = 374,001 : x
  2. Step 2: Convert to fraction form
    170,910/374,001 = 374,001/x
  3. Step 3: Cross multiply
    170,910x = 374,001 × 374,001
  4. Step 4: Simplify right side
    170,910x = 139,876,748,001
  5. Step 5: Solve for x
    x = 139,876,748,001/170,910
  6. Step 6: Final answer
    x = 818,423.43

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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.