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Finding the Third Proportional to 200,978 and 319,917

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Solution

The third proportional to 200,978 and 319,917 is: 509,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,978 : 319,917 = 319,917 : x
  2. Step 2: Convert to fraction form
    200,978/319,917 = 319,917/x
  3. Step 3: Cross multiply
    200,978x = 319,917 × 319,917
  4. Step 4: Simplify right side
    200,978x = 102,346,886,889
  5. Step 5: Solve for x
    x = 102,346,886,889/200,978
  6. Step 6: Final answer
    x = 509,244.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.