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Finding the Third Proportional to 86,266 and 188,570

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Solution

The third proportional to 86,266 and 188,570 is: 412,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,266 : 188,570 = 188,570 : x
  2. Step 2: Convert to fraction form
    86,266/188,570 = 188,570/x
  3. Step 3: Cross multiply
    86,266x = 188,570 × 188,570
  4. Step 4: Simplify right side
    86,266x = 35,558,644,900
  5. Step 5: Solve for x
    x = 35,558,644,900/86,266
  6. Step 6: Final answer
    x = 412,197.68

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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.