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Finding the Third Proportional to 212,022 and 327,876

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Solution

The third proportional to 212,022 and 327,876 is: 507,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,022 : 327,876 = 327,876 : x
  2. Step 2: Convert to fraction form
    212,022/327,876 = 327,876/x
  3. Step 3: Cross multiply
    212,022x = 327,876 × 327,876
  4. Step 4: Simplify right side
    212,022x = 107,502,671,376
  5. Step 5: Solve for x
    x = 107,502,671,376/212,022
  6. Step 6: Final answer
    x = 507,035.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.