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Finding the Third Proportional to 184,040 and 259,100

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Solution

The third proportional to 184,040 and 259,100 is: 364,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,040 : 259,100 = 259,100 : x
  2. Step 2: Convert to fraction form
    184,040/259,100 = 259,100/x
  3. Step 3: Cross multiply
    184,040x = 259,100 × 259,100
  4. Step 4: Simplify right side
    184,040x = 67,132,810,000
  5. Step 5: Solve for x
    x = 67,132,810,000/184,040
  6. Step 6: Final answer
    x = 364,772.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.