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Finding the Third Proportional to 108,180.75 and 235,410.75

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Solution

The third proportional to 108,180.75 and 235,410.75 is: 512,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,180.75 : 235,410.75 = 235,410.75 : x
  2. Step 2: Convert to fraction form
    108,180.75/235,410.75 = 235,410.75/x
  3. Step 3: Cross multiply
    108,180.75x = 235,410.75 × 235,410.75
  4. Step 4: Simplify right side
    108,180.75x = 55,418,221,215.56
  5. Step 5: Solve for x
    x = 55,418,221,215.56/108,180.75
  6. Step 6: Final answer
    x = 512,274.33

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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.