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Finding the Third Proportional to 173,267 and 374,965

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Solution

The third proportional to 173,267 and 374,965 is: 811,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,267 : 374,965 = 374,965 : x
  2. Step 2: Convert to fraction form
    173,267/374,965 = 374,965/x
  3. Step 3: Cross multiply
    173,267x = 374,965 × 374,965
  4. Step 4: Simplify right side
    173,267x = 140,598,751,225
  5. Step 5: Solve for x
    x = 140,598,751,225/173,267
  6. Step 6: Final answer
    x = 811,457.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.