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Finding the Third Proportional to 86,266 and 188,524

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Solution

The third proportional to 86,266 and 188,524 is: 411,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,266 : 188,524 = 188,524 : x
  2. Step 2: Convert to fraction form
    86,266/188,524 = 188,524/x
  3. Step 3: Cross multiply
    86,266x = 188,524 × 188,524
  4. Step 4: Simplify right side
    86,266x = 35,541,298,576
  5. Step 5: Solve for x
    x = 35,541,298,576/86,266
  6. Step 6: Final answer
    x = 411,996.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.