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Finding the Third Proportional to 184,277 and 277,714

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Solution

The third proportional to 184,277 and 277,714 is: 418,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,277 : 277,714 = 277,714 : x
  2. Step 2: Convert to fraction form
    184,277/277,714 = 277,714/x
  3. Step 3: Cross multiply
    184,277x = 277,714 × 277,714
  4. Step 4: Simplify right side
    184,277x = 77,125,065,796
  5. Step 5: Solve for x
    x = 77,125,065,796/184,277
  6. Step 6: Final answer
    x = 418,527.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.