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Finding the Third Proportional to 229,515.75 and 304,906.50

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Solution

The third proportional to 229,515.75 and 304,906.50 is: 405,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,515.75 : 304,906.50 = 304,906.50 : x
  2. Step 2: Convert to fraction form
    229,515.75/304,906.50 = 304,906.50/x
  3. Step 3: Cross multiply
    229,515.75x = 304,906.50 × 304,906.50
  4. Step 4: Simplify right side
    229,515.75x = 92,967,973,742.25
  5. Step 5: Solve for x
    x = 92,967,973,742.25/229,515.75
  6. Step 6: Final answer
    x = 405,061.41

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.