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Finding the Third Proportional to 184,092.75 and 270,069.19

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Solution

The third proportional to 184,092.75 and 270,069.19 is: 396,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,092.75 : 270,069.19 = 270,069.19 : x
  2. Step 2: Convert to fraction form
    184,092.75/270,069.19 = 270,069.19/x
  3. Step 3: Cross multiply
    184,092.75x = 270,069.19 × 270,069.19
  4. Step 4: Simplify right side
    184,092.75x = 72,937,366,036.91
  5. Step 5: Solve for x
    x = 72,937,366,036.91/184,092.75
  6. Step 6: Final answer
    x = 396,199.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.