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Finding the Third Proportional to 86,031 and 185,244

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Solution

The third proportional to 86,031 and 185,244 is: 398,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,031 : 185,244 = 185,244 : x
  2. Step 2: Convert to fraction form
    86,031/185,244 = 185,244/x
  3. Step 3: Cross multiply
    86,031x = 185,244 × 185,244
  4. Step 4: Simplify right side
    86,031x = 34,315,339,536
  5. Step 5: Solve for x
    x = 34,315,339,536/86,031
  6. Step 6: Final answer
    x = 398,871.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.