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Finding the Third Proportional to 154,608.75 and 335,655

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Solution

The third proportional to 154,608.75 and 335,655 is: 728,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,608.75 : 335,655 = 335,655 : x
  2. Step 2: Convert to fraction form
    154,608.75/335,655 = 335,655/x
  3. Step 3: Cross multiply
    154,608.75x = 335,655 × 335,655
  4. Step 4: Simplify right side
    154,608.75x = 112,664,279,025
  5. Step 5: Solve for x
    x = 112,664,279,025/154,608.75
  6. Step 6: Final answer
    x = 728,705.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.