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Finding the Third Proportional to 108,182 and 235,414

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Solution

The third proportional to 108,182 and 235,414 is: 512,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,182 : 235,414 = 235,414 : x
  2. Step 2: Convert to fraction form
    108,182/235,414 = 235,414/x
  3. Step 3: Cross multiply
    108,182x = 235,414 × 235,414
  4. Step 4: Simplify right side
    108,182x = 55,419,751,396
  5. Step 5: Solve for x
    x = 55,419,751,396/108,182
  6. Step 6: Final answer
    x = 512,282.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.