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Finding the Third Proportional to 86,282 and 185,524

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Solution

The third proportional to 86,282 and 185,524 is: 398,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,282 : 185,524 = 185,524 : x
  2. Step 2: Convert to fraction form
    86,282/185,524 = 185,524/x
  3. Step 3: Cross multiply
    86,282x = 185,524 × 185,524
  4. Step 4: Simplify right side
    86,282x = 34,419,154,576
  5. Step 5: Solve for x
    x = 34,419,154,576/86,282
  6. Step 6: Final answer
    x = 398,914.66

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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.