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Finding the Third Proportional to 140,998 and 215,961

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Solution

The third proportional to 140,998 and 215,961 is: 330,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,998 : 215,961 = 215,961 : x
  2. Step 2: Convert to fraction form
    140,998/215,961 = 215,961/x
  3. Step 3: Cross multiply
    140,998x = 215,961 × 215,961
  4. Step 4: Simplify right side
    140,998x = 46,639,153,521
  5. Step 5: Solve for x
    x = 46,639,153,521/140,998
  6. Step 6: Final answer
    x = 330,778.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.