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Finding the Third Proportional to 76,344 and 163,992

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Solution

The third proportional to 76,344 and 163,992 is: 352,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344 : 163,992 = 163,992 : x
  2. Step 2: Convert to fraction form
    76,344/163,992 = 163,992/x
  3. Step 3: Cross multiply
    76,344x = 163,992 × 163,992
  4. Step 4: Simplify right side
    76,344x = 26,893,376,064
  5. Step 5: Solve for x
    x = 26,893,376,064/76,344
  6. Step 6: Final answer
    x = 352,265.75

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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.