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Finding the Third Proportional to 198,873 and 288,918

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Solution

The third proportional to 198,873 and 288,918 is: 419,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,873 : 288,918 = 288,918 : x
  2. Step 2: Convert to fraction form
    198,873/288,918 = 288,918/x
  3. Step 3: Cross multiply
    198,873x = 288,918 × 288,918
  4. Step 4: Simplify right side
    198,873x = 83,473,610,724
  5. Step 5: Solve for x
    x = 83,473,610,724/198,873
  6. Step 6: Final answer
    x = 419,733.25

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.