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Finding the Third Proportional to 174,728 and 277,104

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Solution

The third proportional to 174,728 and 277,104 is: 439,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,728 : 277,104 = 277,104 : x
  2. Step 2: Convert to fraction form
    174,728/277,104 = 277,104/x
  3. Step 3: Cross multiply
    174,728x = 277,104 × 277,104
  4. Step 4: Simplify right side
    174,728x = 76,786,626,816
  5. Step 5: Solve for x
    x = 76,786,626,816/174,728
  6. Step 6: Final answer
    x = 439,463.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.