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Finding the Third Proportional to 121,288.50 and 184,381

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Solution

The third proportional to 121,288.50 and 184,381 is: 280,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,288.50 : 184,381 = 184,381 : x
  2. Step 2: Convert to fraction form
    121,288.50/184,381 = 184,381/x
  3. Step 3: Cross multiply
    121,288.50x = 184,381 × 184,381
  4. Step 4: Simplify right side
    121,288.50x = 33,996,353,161
  5. Step 5: Solve for x
    x = 33,996,353,161/121,288.50
  6. Step 6: Final answer
    x = 280,293.29

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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.