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Finding the Third Proportional to 74,638 and 160,826

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Solution

The third proportional to 74,638 and 160,826 is: 346,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,638 : 160,826 = 160,826 : x
  2. Step 2: Convert to fraction form
    74,638/160,826 = 160,826/x
  3. Step 3: Cross multiply
    74,638x = 160,826 × 160,826
  4. Step 4: Simplify right side
    74,638x = 25,865,002,276
  5. Step 5: Solve for x
    x = 25,865,002,276/74,638
  6. Step 6: Final answer
    x = 346,539.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.