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Finding the Third Proportional to 184,151 and 276,911

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Solution

The third proportional to 184,151 and 276,911 is: 416,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,151 : 276,911 = 276,911 : x
  2. Step 2: Convert to fraction form
    184,151/276,911 = 276,911/x
  3. Step 3: Cross multiply
    184,151x = 276,911 × 276,911
  4. Step 4: Simplify right side
    184,151x = 76,679,701,921
  5. Step 5: Solve for x
    x = 76,679,701,921/184,151
  6. Step 6: Final answer
    x = 416,395.79

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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.