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Finding the Third Proportional to 116,215 and 179,576

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Solution

The third proportional to 116,215 and 179,576 is: 277,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,215 : 179,576 = 179,576 : x
  2. Step 2: Convert to fraction form
    116,215/179,576 = 179,576/x
  3. Step 3: Cross multiply
    116,215x = 179,576 × 179,576
  4. Step 4: Simplify right side
    116,215x = 32,247,539,776
  5. Step 5: Solve for x
    x = 32,247,539,776/116,215
  6. Step 6: Final answer
    x = 277,481.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.