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Finding the Third Proportional to 179,696 and 277,040

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Solution

The third proportional to 179,696 and 277,040 is: 427,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,696 : 277,040 = 277,040 : x
  2. Step 2: Convert to fraction form
    179,696/277,040 = 277,040/x
  3. Step 3: Cross multiply
    179,696x = 277,040 × 277,040
  4. Step 4: Simplify right side
    179,696x = 76,751,161,600
  5. Step 5: Solve for x
    x = 76,751,161,600/179,696
  6. Step 6: Final answer
    x = 427,116.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.