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Finding the Third Proportional to 108,314 and 225,295

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Solution

The third proportional to 108,314 and 225,295 is: 468,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,314 : 225,295 = 225,295 : x
  2. Step 2: Convert to fraction form
    108,314/225,295 = 225,295/x
  3. Step 3: Cross multiply
    108,314x = 225,295 × 225,295
  4. Step 4: Simplify right side
    108,314x = 50,757,837,025
  5. Step 5: Solve for x
    x = 50,757,837,025/108,314
  6. Step 6: Final answer
    x = 468,617.51

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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.