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Finding the Third Proportional to 184,391.44 and 278,282.25

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Solution

The third proportional to 184,391.44 and 278,282.25 is: 419,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,391.44 : 278,282.25 = 278,282.25 : x
  2. Step 2: Convert to fraction form
    184,391.44/278,282.25 = 278,282.25/x
  3. Step 3: Cross multiply
    184,391.44x = 278,282.25 × 278,282.25
  4. Step 4: Simplify right side
    184,391.44x = 77,441,010,665.06
  5. Step 5: Solve for x
    x = 77,441,010,665.06/184,391.44
  6. Step 6: Final answer
    x = 419,981.60

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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.