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Finding the Third Proportional to 177,896.25 and 277,050.38

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Solution

The third proportional to 177,896.25 and 277,050.38 is: 431,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,896.25 : 277,050.38 = 277,050.38 : x
  2. Step 2: Convert to fraction form
    177,896.25/277,050.38 = 277,050.38/x
  3. Step 3: Cross multiply
    177,896.25x = 277,050.38 × 277,050.38
  4. Step 4: Simplify right side
    177,896.25x = 76,756,910,287.64
  5. Step 5: Solve for x
    x = 76,756,910,287.64/177,896.25
  6. Step 6: Final answer
    x = 431,470.09

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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.