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Finding the Third Proportional to 184,177 and 259,964

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Solution

The third proportional to 184,177 and 259,964 is: 366,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,177 : 259,964 = 259,964 : x
  2. Step 2: Convert to fraction form
    184,177/259,964 = 259,964/x
  3. Step 3: Cross multiply
    184,177x = 259,964 × 259,964
  4. Step 4: Simplify right side
    184,177x = 67,581,281,296
  5. Step 5: Solve for x
    x = 67,581,281,296/184,177
  6. Step 6: Final answer
    x = 366,936.60

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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.