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Finding the Third Proportional to 184,740.75 and 278,432.44

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Solution

The third proportional to 184,740.75 and 278,432.44 is: 419,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,740.75 : 278,432.44 = 278,432.44 : x
  2. Step 2: Convert to fraction form
    184,740.75/278,432.44 = 278,432.44/x
  3. Step 3: Cross multiply
    184,740.75x = 278,432.44 × 278,432.44
  4. Step 4: Simplify right side
    184,740.75x = 77,524,622,252.19
  5. Step 5: Solve for x
    x = 77,524,622,252.19/184,740.75
  6. Step 6: Final answer
    x = 419,640.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.