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Finding the Third Proportional to 108,285.75 and 260,873

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Solution

The third proportional to 108,285.75 and 260,873 is: 628,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,285.75 : 260,873 = 260,873 : x
  2. Step 2: Convert to fraction form
    108,285.75/260,873 = 260,873/x
  3. Step 3: Cross multiply
    108,285.75x = 260,873 × 260,873
  4. Step 4: Simplify right side
    108,285.75x = 68,054,722,129
  5. Step 5: Solve for x
    x = 68,054,722,129/108,285.75
  6. Step 6: Final answer
    x = 628,473.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.