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Finding the Third Proportional to 76,874 and 168,328

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Solution

The third proportional to 76,874 and 168,328 is: 368,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,874 : 168,328 = 168,328 : x
  2. Step 2: Convert to fraction form
    76,874/168,328 = 168,328/x
  3. Step 3: Cross multiply
    76,874x = 168,328 × 168,328
  4. Step 4: Simplify right side
    76,874x = 28,334,315,584
  5. Step 5: Solve for x
    x = 28,334,315,584/76,874
  6. Step 6: Final answer
    x = 368,581.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.