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Finding the Third Proportional to 68,638 and 160,353

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Solution

The third proportional to 68,638 and 160,353 is: 374,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,638 : 160,353 = 160,353 : x
  2. Step 2: Convert to fraction form
    68,638/160,353 = 160,353/x
  3. Step 3: Cross multiply
    68,638x = 160,353 × 160,353
  4. Step 4: Simplify right side
    68,638x = 25,713,084,609
  5. Step 5: Solve for x
    x = 25,713,084,609/68,638
  6. Step 6: Final answer
    x = 374,618.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.