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Finding the Third Proportional to 108,477 and 225,152

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Solution

The third proportional to 108,477 and 225,152 is: 467,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,477 : 225,152 = 225,152 : x
  2. Step 2: Convert to fraction form
    108,477/225,152 = 225,152/x
  3. Step 3: Cross multiply
    108,477x = 225,152 × 225,152
  4. Step 4: Simplify right side
    108,477x = 50,693,423,104
  5. Step 5: Solve for x
    x = 50,693,423,104/108,477
  6. Step 6: Final answer
    x = 467,319.55

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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.