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Finding the Third Proportional to 184,740.75 and 280,580.84

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Solution

The third proportional to 184,740.75 and 280,580.84 is: 426,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,740.75 : 280,580.84 = 280,580.84 : x
  2. Step 2: Convert to fraction form
    184,740.75/280,580.84 = 280,580.84/x
  3. Step 3: Cross multiply
    184,740.75x = 280,580.84 × 280,580.84
  4. Step 4: Simplify right side
    184,740.75x = 78,725,605,495.39
  5. Step 5: Solve for x
    x = 78,725,605,495.39/184,740.75
  6. Step 6: Final answer
    x = 426,140.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.