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Finding the Third Proportional to 177,944 and 277,125

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Solution

The third proportional to 177,944 and 277,125 is: 431,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,944 : 277,125 = 277,125 : x
  2. Step 2: Convert to fraction form
    177,944/277,125 = 277,125/x
  3. Step 3: Cross multiply
    177,944x = 277,125 × 277,125
  4. Step 4: Simplify right side
    177,944x = 76,798,265,625
  5. Step 5: Solve for x
    x = 76,798,265,625/177,944
  6. Step 6: Final answer
    x = 431,586.71

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Why These Related Problems?

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