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Finding the Third Proportional to 226,855.69 and 348,213.94

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Solution

The third proportional to 226,855.69 and 348,213.94 is: 534,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,855.69 : 348,213.94 = 348,213.94 : x
  2. Step 2: Convert to fraction form
    226,855.69/348,213.94 = 348,213.94/x
  3. Step 3: Cross multiply
    226,855.69x = 348,213.94 × 348,213.94
  4. Step 4: Simplify right side
    226,855.69x = 121,252,946,269.25
  5. Step 5: Solve for x
    x = 121,252,946,269.25/226,855.69
  6. Step 6: Final answer
    x = 534,493.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.