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Finding the Third Proportional to 86,482 and 179,444

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Solution

The third proportional to 86,482 and 179,444 is: 372,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,482 : 179,444 = 179,444 : x
  2. Step 2: Convert to fraction form
    86,482/179,444 = 179,444/x
  3. Step 3: Cross multiply
    86,482x = 179,444 × 179,444
  4. Step 4: Simplify right side
    86,482x = 32,200,149,136
  5. Step 5: Solve for x
    x = 32,200,149,136/86,482
  6. Step 6: Final answer
    x = 372,333.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.