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Finding the Third Proportional to 228,930.75 and 350,203.50

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Solution

The third proportional to 228,930.75 and 350,203.50 is: 535,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,930.75 : 350,203.50 = 350,203.50 : x
  2. Step 2: Convert to fraction form
    228,930.75/350,203.50 = 350,203.50/x
  3. Step 3: Cross multiply
    228,930.75x = 350,203.50 × 350,203.50
  4. Step 4: Simplify right side
    228,930.75x = 122,642,491,412.25
  5. Step 5: Solve for x
    x = 122,642,491,412.25/228,930.75
  6. Step 6: Final answer
    x = 535,718.73

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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.