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Finding the Third Proportional to 210,849 and 318,906

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Solution

The third proportional to 210,849 and 318,906 is: 482,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,849 : 318,906 = 318,906 : x
  2. Step 2: Convert to fraction form
    210,849/318,906 = 318,906/x
  3. Step 3: Cross multiply
    210,849x = 318,906 × 318,906
  4. Step 4: Simplify right side
    210,849x = 101,701,036,836
  5. Step 5: Solve for x
    x = 101,701,036,836/210,849
  6. Step 6: Final answer
    x = 482,340.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.