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Finding the Third Proportional to 184,720.50 and 270,499.50

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Solution

The third proportional to 184,720.50 and 270,499.50 is: 396,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,720.50 : 270,499.50 = 270,499.50 : x
  2. Step 2: Convert to fraction form
    184,720.50/270,499.50 = 270,499.50/x
  3. Step 3: Cross multiply
    184,720.50x = 270,499.50 × 270,499.50
  4. Step 4: Simplify right side
    184,720.50x = 73,169,979,500.25
  5. Step 5: Solve for x
    x = 73,169,979,500.25/184,720.50
  6. Step 6: Final answer
    x = 396,111.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.