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Finding the Third Proportional to 103,746 and 227,812

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Solution

The third proportional to 103,746 and 227,812 is: 500,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,746 : 227,812 = 227,812 : x
  2. Step 2: Convert to fraction form
    103,746/227,812 = 227,812/x
  3. Step 3: Cross multiply
    103,746x = 227,812 × 227,812
  4. Step 4: Simplify right side
    103,746x = 51,898,307,344
  5. Step 5: Solve for x
    x = 51,898,307,344/103,746
  6. Step 6: Final answer
    x = 500,243.94

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Why These Related Problems?

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