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Finding the Third Proportional to 184,173.50 and 259,959.50

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Solution

The third proportional to 184,173.50 and 259,959.50 is: 366,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,173.50 : 259,959.50 = 259,959.50 : x
  2. Step 2: Convert to fraction form
    184,173.50/259,959.50 = 259,959.50/x
  3. Step 3: Cross multiply
    184,173.50x = 259,959.50 × 259,959.50
  4. Step 4: Simplify right side
    184,173.50x = 67,578,941,640.25
  5. Step 5: Solve for x
    x = 67,578,941,640.25/184,173.50
  6. Step 6: Final answer
    x = 366,930.86

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