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Finding the Third Proportional to 108,515 and 225,346

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Solution

The third proportional to 108,515 and 225,346 is: 467,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,515 : 225,346 = 225,346 : x
  2. Step 2: Convert to fraction form
    108,515/225,346 = 225,346/x
  3. Step 3: Cross multiply
    108,515x = 225,346 × 225,346
  4. Step 4: Simplify right side
    108,515x = 50,780,819,716
  5. Step 5: Solve for x
    x = 50,780,819,716/108,515
  6. Step 6: Final answer
    x = 467,961.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.