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Finding the Third Proportional to 159,278 and 333,892

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Solution

The third proportional to 159,278 and 333,892 is: 699,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,278 : 333,892 = 333,892 : x
  2. Step 2: Convert to fraction form
    159,278/333,892 = 333,892/x
  3. Step 3: Cross multiply
    159,278x = 333,892 × 333,892
  4. Step 4: Simplify right side
    159,278x = 111,483,867,664
  5. Step 5: Solve for x
    x = 111,483,867,664/159,278
  6. Step 6: Final answer
    x = 699,932.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.