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Finding the Third Proportional to 108,516 and 241,932

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Solution

The third proportional to 108,516 and 241,932 is: 539,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,516 : 241,932 = 241,932 : x
  2. Step 2: Convert to fraction form
    108,516/241,932 = 241,932/x
  3. Step 3: Cross multiply
    108,516x = 241,932 × 241,932
  4. Step 4: Simplify right side
    108,516x = 58,531,092,624
  5. Step 5: Solve for x
    x = 58,531,092,624/108,516
  6. Step 6: Final answer
    x = 539,377.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.