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Finding the Third Proportional to 108,265.50 and 236,184.75

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Solution

The third proportional to 108,265.50 and 236,184.75 is: 515,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,265.50 : 236,184.75 = 236,184.75 : x
  2. Step 2: Convert to fraction form
    108,265.50/236,184.75 = 236,184.75/x
  3. Step 3: Cross multiply
    108,265.50x = 236,184.75 × 236,184.75
  4. Step 4: Simplify right side
    108,265.50x = 55,783,236,132.56
  5. Step 5: Solve for x
    x = 55,783,236,132.56/108,265.50
  6. Step 6: Final answer
    x = 515,244.80

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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.