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Finding the Third Proportional to 184,059 and 239,733

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Solution

The third proportional to 184,059 and 239,733 is: 312,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,059 : 239,733 = 239,733 : x
  2. Step 2: Convert to fraction form
    184,059/239,733 = 239,733/x
  3. Step 3: Cross multiply
    184,059x = 239,733 × 239,733
  4. Step 4: Simplify right side
    184,059x = 57,471,911,289
  5. Step 5: Solve for x
    x = 57,471,911,289/184,059
  6. Step 6: Final answer
    x = 312,247.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.