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Finding the Third Proportional to 76,340 and 163,984

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Solution

The third proportional to 76,340 and 163,984 is: 352,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,340 : 163,984 = 163,984 : x
  2. Step 2: Convert to fraction form
    76,340/163,984 = 163,984/x
  3. Step 3: Cross multiply
    76,340x = 163,984 × 163,984
  4. Step 4: Simplify right side
    76,340x = 26,890,752,256
  5. Step 5: Solve for x
    x = 26,890,752,256/76,340
  6. Step 6: Final answer
    x = 352,249.83

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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.