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Finding the Third Proportional to 120,507.75 and 246,543.75

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Solution

The third proportional to 120,507.75 and 246,543.75 is: 504,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,507.75 : 246,543.75 = 246,543.75 : x
  2. Step 2: Convert to fraction form
    120,507.75/246,543.75 = 246,543.75/x
  3. Step 3: Cross multiply
    120,507.75x = 246,543.75 × 246,543.75
  4. Step 4: Simplify right side
    120,507.75x = 60,783,820,664.06
  5. Step 5: Solve for x
    x = 60,783,820,664.06/120,507.75
  6. Step 6: Final answer
    x = 504,397.61

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