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Finding the Third Proportional to 103,420 and 227,792

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Solution

The third proportional to 103,420 and 227,792 is: 501,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,420 : 227,792 = 227,792 : x
  2. Step 2: Convert to fraction form
    103,420/227,792 = 227,792/x
  3. Step 3: Cross multiply
    103,420x = 227,792 × 227,792
  4. Step 4: Simplify right side
    103,420x = 51,889,195,264
  5. Step 5: Solve for x
    x = 51,889,195,264/103,420
  6. Step 6: Final answer
    x = 501,732.69

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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.