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Finding the Third Proportional to 108,016 and 235,400

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Solution

The third proportional to 108,016 and 235,400 is: 513,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,016 : 235,400 = 235,400 : x
  2. Step 2: Convert to fraction form
    108,016/235,400 = 235,400/x
  3. Step 3: Cross multiply
    108,016x = 235,400 × 235,400
  4. Step 4: Simplify right side
    108,016x = 55,413,160,000
  5. Step 5: Solve for x
    x = 55,413,160,000/108,016
  6. Step 6: Final answer
    x = 513,008.81

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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.