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Finding the Third Proportional to 179,480.25 and 277,872.75

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Solution

The third proportional to 179,480.25 and 277,872.75 is: 430,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,480.25 : 277,872.75 = 277,872.75 : x
  2. Step 2: Convert to fraction form
    179,480.25/277,872.75 = 277,872.75/x
  3. Step 3: Cross multiply
    179,480.25x = 277,872.75 × 277,872.75
  4. Step 4: Simplify right side
    179,480.25x = 77,213,265,192.56
  5. Step 5: Solve for x
    x = 77,213,265,192.56/179,480.25
  6. Step 6: Final answer
    x = 430,204.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.