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Finding the Third Proportional to 102,996 and 225,672

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Solution

The third proportional to 102,996 and 225,672 is: 494,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,996 : 225,672 = 225,672 : x
  2. Step 2: Convert to fraction form
    102,996/225,672 = 225,672/x
  3. Step 3: Cross multiply
    102,996x = 225,672 × 225,672
  4. Step 4: Simplify right side
    102,996x = 50,927,851,584
  5. Step 5: Solve for x
    x = 50,927,851,584/102,996
  6. Step 6: Final answer
    x = 494,464.36

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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.