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Finding the Third Proportional to 177,204.94 and 277,201.69

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Solution

The third proportional to 177,204.94 and 277,201.69 is: 433,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,204.94 : 277,201.69 = 277,201.69 : x
  2. Step 2: Convert to fraction form
    177,204.94/277,201.69 = 277,201.69/x
  3. Step 3: Cross multiply
    177,204.94x = 277,201.69 × 277,201.69
  4. Step 4: Simplify right side
    177,204.94x = 76,840,775,552.85
  5. Step 5: Solve for x
    x = 76,840,775,552.85/177,204.94
  6. Step 6: Final answer
    x = 433,626.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.