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Finding the Third Proportional to 103,851 and 227,466

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Solution

The third proportional to 103,851 and 227,466 is: 498,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,851 : 227,466 = 227,466 : x
  2. Step 2: Convert to fraction form
    103,851/227,466 = 227,466/x
  3. Step 3: Cross multiply
    103,851x = 227,466 × 227,466
  4. Step 4: Simplify right side
    103,851x = 51,740,781,156
  5. Step 5: Solve for x
    x = 51,740,781,156/103,851
  6. Step 6: Final answer
    x = 498,221.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.