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Finding the Third Proportional to 207,964 and 321,876

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Solution

The third proportional to 207,964 and 321,876 is: 498,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,964 : 321,876 = 321,876 : x
  2. Step 2: Convert to fraction form
    207,964/321,876 = 321,876/x
  3. Step 3: Cross multiply
    207,964x = 321,876 × 321,876
  4. Step 4: Simplify right side
    207,964x = 103,604,159,376
  5. Step 5: Solve for x
    x = 103,604,159,376/207,964
  6. Step 6: Final answer
    x = 498,183.14

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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.