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Finding the Third Proportional to 103,472 and 227,265

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Solution

The third proportional to 103,472 and 227,265 is: 499,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,472 : 227,265 = 227,265 : x
  2. Step 2: Convert to fraction form
    103,472/227,265 = 227,265/x
  3. Step 3: Cross multiply
    103,472x = 227,265 × 227,265
  4. Step 4: Simplify right side
    103,472x = 51,649,380,225
  5. Step 5: Solve for x
    x = 51,649,380,225/103,472
  6. Step 6: Final answer
    x = 499,162.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.