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Finding the Third Proportional to 146,832.75 and 236,089.69

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Solution

The third proportional to 146,832.75 and 236,089.69 is: 379,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,832.75 : 236,089.69 = 236,089.69 : x
  2. Step 2: Convert to fraction form
    146,832.75/236,089.69 = 236,089.69/x
  3. Step 3: Cross multiply
    146,832.75x = 236,089.69 × 236,089.69
  4. Step 4: Simplify right side
    146,832.75x = 55,738,340,543.85
  5. Step 5: Solve for x
    x = 55,738,340,543.85/146,832.75
  6. Step 6: Final answer
    x = 379,604.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.