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Finding the Third Proportional to 86,177 and 182,290

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Solution

The third proportional to 86,177 and 182,290 is: 385,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,177 : 182,290 = 182,290 : x
  2. Step 2: Convert to fraction form
    86,177/182,290 = 182,290/x
  3. Step 3: Cross multiply
    86,177x = 182,290 × 182,290
  4. Step 4: Simplify right side
    86,177x = 33,229,644,100
  5. Step 5: Solve for x
    x = 33,229,644,100/86,177
  6. Step 6: Final answer
    x = 385,597.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.