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Finding the Third Proportional to 184,024 and 276,960

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Solution

The third proportional to 184,024 and 276,960 is: 416,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,024 : 276,960 = 276,960 : x
  2. Step 2: Convert to fraction form
    184,024/276,960 = 276,960/x
  3. Step 3: Cross multiply
    184,024x = 276,960 × 276,960
  4. Step 4: Simplify right side
    184,024x = 76,706,841,600
  5. Step 5: Solve for x
    x = 76,706,841,600/184,024
  6. Step 6: Final answer
    x = 416,830.64

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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.