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Finding the Third Proportional to 226,539.75 and 317,493.75

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Solution

The third proportional to 226,539.75 and 317,493.75 is: 444,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,539.75 : 317,493.75 = 317,493.75 : x
  2. Step 2: Convert to fraction form
    226,539.75/317,493.75 = 317,493.75/x
  3. Step 3: Cross multiply
    226,539.75x = 317,493.75 × 317,493.75
  4. Step 4: Simplify right side
    226,539.75x = 100,802,281,289.06
  5. Step 5: Solve for x
    x = 100,802,281,289.06/226,539.75
  6. Step 6: Final answer
    x = 444,965.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.