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Finding the Third Proportional to 221,924.81 and 343,245.09

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Solution

The third proportional to 221,924.81 and 343,245.09 is: 530,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,924.81 : 343,245.09 = 343,245.09 : x
  2. Step 2: Convert to fraction form
    221,924.81/343,245.09 = 343,245.09/x
  3. Step 3: Cross multiply
    221,924.81x = 343,245.09 × 343,245.09
  4. Step 4: Simplify right side
    221,924.81x = 117,817,194,383.45
  5. Step 5: Solve for x
    x = 117,817,194,383.45/221,924.81
  6. Step 6: Final answer
    x = 530,887.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.