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Finding the Third Proportional to 108,418.82 and 260,868.09

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Solution

The third proportional to 108,418.82 and 260,868.09 is: 627,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,418.82 : 260,868.09 = 260,868.09 : x
  2. Step 2: Convert to fraction form
    108,418.82/260,868.09 = 260,868.09/x
  3. Step 3: Cross multiply
    108,418.82x = 260,868.09 × 260,868.09
  4. Step 4: Simplify right side
    108,418.82x = 68,052,162,336.76
  5. Step 5: Solve for x
    x = 68,052,162,336.76/108,418.82
  6. Step 6: Final answer
    x = 627,678.52

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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.