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Finding the Third Proportional to 184,175 and 259,961

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Solution

The third proportional to 184,175 and 259,961 is: 366,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,175 : 259,961 = 259,961 : x
  2. Step 2: Convert to fraction form
    184,175/259,961 = 259,961/x
  3. Step 3: Cross multiply
    184,175x = 259,961 × 259,961
  4. Step 4: Simplify right side
    184,175x = 67,579,721,521
  5. Step 5: Solve for x
    x = 67,579,721,521/184,175
  6. Step 6: Final answer
    x = 366,932.11

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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.