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Finding the Third Proportional to 140,998 and 288,874

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Solution

The third proportional to 140,998 and 288,874 is: 591,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,998 : 288,874 = 288,874 : x
  2. Step 2: Convert to fraction form
    140,998/288,874 = 288,874/x
  3. Step 3: Cross multiply
    140,998x = 288,874 × 288,874
  4. Step 4: Simplify right side
    140,998x = 83,448,187,876
  5. Step 5: Solve for x
    x = 83,448,187,876/140,998
  6. Step 6: Final answer
    x = 591,839.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.