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Finding the Third Proportional to 221,231.25 and 335,924.72

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Solution

The third proportional to 221,231.25 and 335,924.72 is: 510,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,231.25 : 335,924.72 = 335,924.72 : x
  2. Step 2: Convert to fraction form
    221,231.25/335,924.72 = 335,924.72/x
  3. Step 3: Cross multiply
    221,231.25x = 335,924.72 × 335,924.72
  4. Step 4: Simplify right side
    221,231.25x = 112,845,416,667.27
  5. Step 5: Solve for x
    x = 112,845,416,667.27/221,231.25
  6. Step 6: Final answer
    x = 510,079.01

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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.