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Finding the Third Proportional to 102,884 and 225,464

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Solution

The third proportional to 102,884 and 225,464 is: 494,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,884 : 225,464 = 225,464 : x
  2. Step 2: Convert to fraction form
    102,884/225,464 = 225,464/x
  3. Step 3: Cross multiply
    102,884x = 225,464 × 225,464
  4. Step 4: Simplify right side
    102,884x = 50,834,015,296
  5. Step 5: Solve for x
    x = 50,834,015,296/102,884
  6. Step 6: Final answer
    x = 494,090.58

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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.