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Finding the Third Proportional to 86,704 and 179,984

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Solution

The third proportional to 86,704 and 179,984 is: 373,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,704 : 179,984 = 179,984 : x
  2. Step 2: Convert to fraction form
    86,704/179,984 = 179,984/x
  3. Step 3: Cross multiply
    86,704x = 179,984 × 179,984
  4. Step 4: Simplify right side
    86,704x = 32,394,240,256
  5. Step 5: Solve for x
    x = 32,394,240,256/86,704
  6. Step 6: Final answer
    x = 373,618.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.