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Finding the Third Proportional to 184,314 and 277,175

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Solution

The third proportional to 184,314 and 277,175 is: 416,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,314 : 277,175 = 277,175 : x
  2. Step 2: Convert to fraction form
    184,314/277,175 = 277,175/x
  3. Step 3: Cross multiply
    184,314x = 277,175 × 277,175
  4. Step 4: Simplify right side
    184,314x = 76,825,980,625
  5. Step 5: Solve for x
    x = 76,825,980,625/184,314
  6. Step 6: Final answer
    x = 416,821.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.